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1999-12-11 03:00:00
2025-07-19 00:40:46
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A377904
Index of 2*10^((10^n-1)/9) - 1 in A302656, or -1 if that number never appears there.
[ "1", "14", "20", "97", "176", "396", "463", "1918", "1984", "2278" ]
[ "nonn", "more" ]
28
0
2
[ "A302656", "A376769", "A376776", "A377903", "A377904", "A377906", "A377911" ]
null
N. J. A. Sloane, Nov 19 2024
2024-11-24T09:21:26
oeisdata/seq/A377/A377904.seq
18ed7b1005a1f57090fc35d58f0a4bfd
A377905
Irregular triangle read by rows: T(n,k) (n >= 0, k >= 0, T[n,k]>0) is the total number of occurrences of the digit k in terms 0 to n of A329447.
[ "1", "2", "1", "2", "3", "3", "3", "1", "3", "4", "2", "3", "4", "4", "4", "4", "4", "1", "4", "5", "4", "2", "4", "5", "5", "3", "4", "5", "5", "5", "5", "5", "5", "5", "1", "5", "6", "5", "5", "2", "5", "6", "6", "5", "3", "5", "6", "6", "6", "4", "5", "6", "6", "6", "6", "6", "6", "6", "6", "6", "1", "6", "7", "6", "6", "6", "2", "6", "7", "7", "6", "6", "3", "6", "7", "7", "7", "6", "4", "6", "7", "7", "7", "7", "5", "6", "7", "7", "7", "7", "7", "7", "7", "7", "7", "7", "7", "1", "7", "8", "7", "7", "7", "7", "2", "7", "8", "8", "7", "7", "7", "3", "7", "8", "8", "8", "7", "7", "4", "7", "8", "8", "8", "8", "7" ]
[ "nonn", "tabf" ]
24
0
2
[ "A329447", "A377905" ]
null
N. J. A. Sloane, Nov 19 2024
2024-11-20T08:52:36
oeisdata/seq/A377/A377905.seq
b614c94e27a844e9d41bbb71982d58cb
A377906
Index of 10^n in A302656, or -1 if 10^n does not appear in A302656.
[ "1", "12", "16", "56", "93", "136", "168", "321", "332", "363", "409", "411", "443", "467", "1658", "1688", "1699", "1708", "1715", "1720", "1913" ]
[ "nonn", "more" ]
17
0
2
[ "A302656", "A376769", "A376776", "A377903", "A377904", "A377906", "A377911" ]
null
N. J. A. Sloane, Nov 22 2024
2024-11-24T09:21:54
oeisdata/seq/A377/A377906.seq
7d5574374c6a2fd0ab924bd1fcf083da
A377907
Number of digits in A376769.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "2", "2", "1", "1", "1", "1", "3", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "2", "1", "1", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "1", "2", "1", "2", "1", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "1", "1", "1", "1", "2", "1", "2", "2", "2", "1", "2", "1", "2", "2", "1", "2", "1", "1", "4", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "3", "2" ]
[ "nonn", "base" ]
8
1
10
[ "A302656", "A376769", "A376776", "A377903", "A377904", "A377906", "A377907", "A377911" ]
null
N. J. A. Sloane, Nov 22 2024
2024-11-24T09:22:15
oeisdata/seq/A377/A377907.seq
bd367d86c3213df1b5757fde41f0ffb1
A377908
Difference between index of 10^n in A302656 and in A376769.
[ "0", "2", "4", "41", "83", "260", "295", "1597", "1652", "1915" ]
[ "nonn", "more", "base" ]
17
0
2
[ "A302656", "A376769", "A376776", "A377903", "A377904", "A377906", "A377908", "A377911" ]
null
N. J. A. Sloane, Nov 22 2024
2024-11-24T09:22:43
oeisdata/seq/A377/A377908.seq
4d58be965cd37df400469a56796878df
A377909
a(n) is the unmatched portion of the digit stream A376771 that A303656(n) must match, or -1 if this is the null string.
[ "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "9", "18", "810", "1017", "1719", "1989", "989100", "8910027", "91002726", "100272636", "272636199999999999", "7263619999999999911", "26361999999999991116", "636199999999999111620", "3619999999999911162015", "61999999999991116201512", "199999999999111620151224", "9999999999111620151224199" ]
[ "sign" ]
9
1
11
[ "A302656", "A376769", "A376776", "A377903", "A377904", "A377906", "A377909", "A377911" ]
null
N. J. A. Sloane, Nov 22 2024
2024-11-24T09:23:00
oeisdata/seq/A377/A377909.seq
b6c15c83a349d75dd04d459ac1733174
A377910
a(n) = number of digits in A377909(n), or 0 if A377909(n) = -1.
[ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "2", "3", "4", "4", "4", "6", "7", "8", "9", "18", "19", "20", "21", "22", "23", "24", "25" ]
[ "nonn", "base", "more" ]
7
1
12
[ "A302656", "A376769", "A376776", "A377903", "A377904", "A377906", "A377910", "A377911" ]
null
N. J. A. Sloane, Nov 22 2024
2024-11-24T09:23:21
oeisdata/seq/A377/A377910.seq
457ebc06201a708193e0a795a81e2020
A377911
Indices of the 1's in the digit stream A376771.
[ "1", "10", "13", "15", "17", "19", "23", "32", "44", "45", "46", "50", "52", "56", "68", "71", "74", "75", "77", "80", "94", "96", "97", "102", "107", "112", "116", "119", "120", "124", "157", "162", "165", "168", "169", "171", "172", "176", "183", "189", "192", "194", "213", "214", "215", "218", "227", "236", "238", "239" ]
[ "nonn", "more" ]
5
1
2
[ "A302656", "A376769", "A376776", "A377903", "A377904", "A377906", "A377911" ]
null
N. J. A. Sloane, Nov 23 2024
2024-11-24T09:23:44
oeisdata/seq/A377/A377911.seq
e2f8eb4cbe06b4cf32656dda7a3d4fb1
A377912
Numbers such that every even digit except the last is immediately followed by a strictly larger digit.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17", "18", "19", "23", "24", "25", "26", "27", "28", "29", "30", "31", "32", "33", "34", "35", "36", "37", "38", "39", "45", "46", "47", "48", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "67", "68", "69", "70", "71", "72", "73", "74", "75", "76", "77", "78", "79", "89", "90", "91", "92", "93", "94", "95", "96", "97", "98", "99", "101", "102", "103", "104", "105", "106", "107", "108", "109", "110", "111", "112", "113", "114", "115", "116", "117" ]
[ "nonn", "base", "changed" ]
43
1
3
[ "A342042", "A347298", "A377912", "A377914", "A377917", "A377918" ]
null
N. J. A. Sloane, Nov 27 2024, with thanks to Paolo Xausa for correcting the initial definition
2025-07-09T05:07:15
oeisdata/seq/A377/A377912.seq
9383283b3edebc3cd34ed965592f9e73
A377913
Records in A342042.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "30", "50", "70", "90", "91", "92", "93", "94", "95", "96", "97", "98", "99", "101", "102", "301", "501", "701", "901", "902", "903", "904", "905", "906", "907", "908", "909", "910", "911", "912", "913", "914", "915", "916", "917", "918", "919", "923", "924", "925", "926", "927", "928", "929", "930", "931", "932", "933", "934", "935", "936", "937", "938", "939", "945", "946", "947", "948", "949", "950", "951", "952", "953", "954", "955", "956", "957", "958", "959" ]
[ "nonn", "base" ]
6
1
3
[ "A342042", "A377913", "A377914" ]
null
N. J. A. Sloane, Nov 28 2024
2024-11-28T20:08:37
oeisdata/seq/A377/A377913.seq
f80492480369f744fac73545f3b4a1ee
A377914
Indices of records in A342042.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "14", "17", "20", "23", "33", "45", "52", "61", "65", "71", "74", "75", "76", "77", "78", "79", "82", "85", "88", "106", "121", "136", "138", "143", "147", "153", "154", "163", "167", "181", "199", "215", "226", "240", "244", "248", "249", "258", "264", "272", "283", "295", "298", "299", "312", "319", "327", "333", "337", "351", "365", "380", "384", "385", "400", "410", "417", "421", "422", "430", "440", "443", "447", "459", "472", "484", "498", "505", "506" ]
[ "nonn", "base" ]
6
1
2
[ "A342042", "A377913", "A377914" ]
null
N. J. A. Sloane, Nov 28 2024
2024-11-28T20:10:31
oeisdata/seq/A377/A377914.seq
585d0869d814a4f4e1142e8835a03b01
A377915
a(n) = m means A342042(n) is the m-th term of A377912.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "28", "14", "15", "43", "16", "17", "56", "18", "19", "67", "20", "21", "22", "44", "23", "24", "57", "25", "26", "68", "27", "29", "30", "31", "32", "45", "33", "34", "58", "35", "36", "69", "37", "38", "39", "59", "40", "41", "70", "42", "46", "47", "48", "49", "60", "50", "51", "71", "52", "53", "54", "72", "55", "61", "62", "63", "64", "73", "65", "66", "74", "75", "76", "77", "78", "201", "79", "80", "310", "81", "82", "406", "83", "84", "491", "85", "86", "87", "88", "202", "203" ]
[ "nonn", "base" ]
15
1
2
[ "A342042", "A377912", "A377915", "A377916" ]
null
N. J. A. Sloane, Nov 29 2024
2024-11-30T06:23:48
oeisdata/seq/A377/A377915.seq
4078c4edae3e6016c157031c2918a713
A377916
Inverse permutation to A377915.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "15", "16", "18", "19", "21", "22", "24", "25", "26", "28", "29", "31", "32", "34", "14", "35", "36", "37", "38", "40", "41", "43", "44", "46", "47", "48", "50", "51", "53", "17", "27", "39", "54", "55", "56", "57", "59", "60", "62", "63", "64", "66", "20", "30", "42", "49", "58", "67", "68", "69", "70", "72", "73", "23", "33", "45", "52", "61", "65", "71", "74", "75", "76", "77", "78", "80", "81", "83", "84", "86", "87", "89", "90", "91", "92", "95", "96", "100", "101", "104", "105", "109" ]
[ "nonn", "base" ]
11
1
2
[ "A342042", "A377912", "A377915", "A377916" ]
null
N. J. A. Sloane, Nov 29 2024
2024-11-30T06:23:53
oeisdata/seq/A377/A377916.seq
42e3b38c0f0de6bdbc3848860b998f92
A377917
Number of n-digit terms in A377912.
[ "10", "66", "489", "3631", "26951", "200045", "1484850", "11021410", "81807240", "607220362", "4507138581", "33454573430", "248319075015", "1843166918425", "13681044394077", "101548575900358", "753751904485831", "5594779921615960", "41527672679871145", "308242258385100002", "2287951231622970075", "16982489246315828049" ]
[ "nonn", "base", "easy" ]
29
1
1
[ "A342042", "A377912", "A377917", "A377918" ]
null
Sebastian Karlsson and N. J. A. Sloane, Nov 30 2024
2024-12-01T19:34:09
oeisdata/seq/A377/A377917.seq
8863c2fc8c70f90481fc821a2445f35a
A377918
a(n) = index in A377912 (or, equally, in A342042) of the first n-digit term.
[ "1", "11", "77", "566", "4197", "31148", "231193", "1716043", "12737453", "94544693", "701765055", "5208903636", "38663477066", "286982552081", "2130149470506", "15811193864583", "117359769764941", "871111674250772", "6465891595866732", "47993564275737877", "356235822660837879", "2644187054283807954", "19626676300599636003" ]
[ "nonn", "base" ]
33
1
2
[ "A342042", "A377912", "A377917", "A377918" ]
null
Sebastian Karlsson and N. J. A. Sloane, Nov 30 2024
2024-12-02T10:32:12
oeisdata/seq/A377/A377918.seq
558065bcf81351766bdb47470d4b1e37
A377919
a(0) = 0; thereafter a(n) is the lexicographically earliest missing nonnegative integer such that the digits in the sequence (ignoring the commas) alternate in parity.
[ "0", "1", "2", "10", "101", "21", "210", "1010", "10101", "2101", "21010", "101010", "1010101", "210101", "2101010", "10101010", "101010101", "21010101", "210101010", "1010101010", "10101010101", "2101010101", "21010101010", "101010101010", "1010101010101", "210101010101", "2101010101010", "10101010101010", "101010101010101", "21010101010101", "210101010101010", "1010101010101010", "10101010101010101", "2101010101010101", "21010101010101010", "101010101010101010" ]
[ "nonn", "base" ]
32
0
3
[ "A056830", "A098951", "A377919" ]
null
N. J. A. Sloane, Dec 08 2024
2024-12-09T22:01:27
oeisdata/seq/A377/A377919.seq
9743f484b8bf24d9e12228b9dcd7f54a
A377920
Number of 3-connected Schnyder labelings with n inner faces in the quadrangular dissection.
[ "0", "0", "3", "2", "3", "6", "14", "36", "102", "306", "972", "3216", "11050", "39138", "142446", "530656", "2018352", "7818864", "30792396", "123075000", "498564768", "2044416718", "8477328954", "35513219388", "150179868736", "640638311244", "2754973241580", "11936532238388", "52080345520680", "228720427370874", "1010627725860522" ]
[ "nonn" ]
30
0
3
[ "A377920", "A377921", "A377922", "A377923" ]
null
N. J. A. Sloane, Dec 13 2024
2024-12-15T10:57:14
oeisdata/seq/A377/A377920.seq
058dc1f388c775d1207fc6bdcbc39527
A377921
Number of 3-connected Schnyder labelings with n inner faces in the quadrangular dissection, whose outer white vertices are non-isolated.
[ "0", "0", "0", "1", "0", "3", "4", "15", "42", "131", "438", "1467", "5204", "18687", "69306", "261473", "1007328", "3943155", "15679474", "63199785", "257983836", "1065186381", "4444618518", "18725820855", "79603364236", "341206137453", "1473818915658", "6411853714819", "28082121491796", "123764682835371", "548675459164202" ]
[ "nonn" ]
34
0
6
[ "A342141", "A377920", "A377921", "A377922", "A377923" ]
null
N. J. A. Sloane, Dec 13 2024
2024-12-15T10:57:41
oeisdata/seq/A377/A377921.seq
e7d8cfcf6c0d877a361401447ae1e406
A377922
Number of polyhedral orientations with n inner vertices.
[ "0", "0", "0", "1", "0", "3", "4", "15", "39", "122", "375", "1212", "3980", "13413", "45966", "160295", "566985", "2032110", "7368334", "27000759", "99891654", "372788553", "1402339329", "5313959388", "20272563265", "77822173758", "300473023929", "1166377045666", "4550358858954", "17835405078273", "70213720795466", "277552814035683" ]
[ "nonn" ]
32
0
6
[ "A001181", "A377920", "A377921", "A377922", "A377923" ]
null
N. J. A. Sloane, Dec 13 2024
2024-12-15T10:58:07
oeisdata/seq/A377/A377922.seq
f5db9b366d13cdf9431678b1c21d174d
A377923
Number of corner polyhedra graphs of order n.
[ "0", "1", "0", "3", "4", "15", "39", "120" ]
[ "nonn", "more" ]
7
0
4
[ "A377920", "A377921", "A377922", "A377923" ]
null
N. J. A. Sloane, Dec 13 2024
2024-12-13T06:24:40
oeisdata/seq/A377/A377923.seq
891e4058dc06aba95d0b1489a8e21c96
A377924
Decimal expansion of 1 + Pi/arccos(9/16).
[ "4", "2", "2", "7", "4", "7", "6", "0", "8", "2", "1", "2", "5", "3", "3", "8", "4", "4", "0", "5", "7", "5", "4", "4", "1", "8", "8", "4", "0", "4", "7", "4", "9", "2", "9", "6", "0", "5", "2", "3", "3", "9", "5", "0", "4", "9", "3", "0", "2", "7", "8", "4", "6", "3", "2", "0", "1", "3", "2", "3", "8", "0", "6", "1", "0", "3", "4", "1", "1", "4", "1", "2", "2", "2", "2", "6", "4", "2", "1", "8", "7", "9", "0", "6", "3", "9", "8", "2", "1", "0", "5", "3", "1", "1", "3", "1", "2", "0", "1", "0" ]
[ "nonn", "cons" ]
10
1
1
null
null
N. J. A. Sloane, Dec 13 2024
2024-12-15T15:46:16
oeisdata/seq/A377/A377924.seq
c00849984cbd4119384af184bd170426
A377925
Records in A228407.
[ "0", "11", "100", "101", "103", "110", "114", "120", "201", "210", "1000", "1003", "1007", "1008", "1020", "1029", "1030", "1040", "1047", "1048", "1082", "1208", "1280", "1802", "1820", "2018", "2081", "2108", "2180", "2801", "2810", "8012", "8021", "8102", "8120", "8201", "8210", "10002", "10004", "10007", "10020", "10060", "10080", "10081", "10100", "10105", "10113", "10304", "10502", "10520", "11125", "11152", "11215", "11251", "11512", "11521", "12005", "12050", "12115", "12151" ]
[ "nonn", "base" ]
13
1
2
[ "A228407", "A229218", "A377925", "A377926" ]
null
N. J. A. Sloane, Dec 14 2024
2024-12-15T04:40:08
oeisdata/seq/A377/A377925.seq
b9a753df0770c05e7329700abeb44919
A377926
Indices of records in A228407.
[ "0", "1", "4", "8", "13", "15", "22", "28", "29", "30", "31", "62", "78", "94", "108", "138", "169", "205", "238", "279", "290", "291", "292", "293", "294", "295", "296", "297", "298", "299", "300", "301", "302", "303", "304", "305", "306", "307", "419", "519", "611", "667", "884", "3341", "3415", "3839", "4623", "4665", "5974", "5975", "5976", "5977", "5978", "5979", "5980", "5981", "5982", "5983", "5984", "5985", "5986", "5987", "5988", "5989", "5990", "5991", "5992", "5993", "5994", "5995", "5996", "5997", "5998" ]
[ "nonn", "base" ]
15
1
3
[ "A228407", "A229218", "A377925", "A377926" ]
null
N. J. A. Sloane, Dec 14 2024
2024-12-15T04:40:13
oeisdata/seq/A377/A377926.seq
469ef098972e750a82fbe277331032f7
A377927
Numbers k such that 4^sigma(k) - k is a prime.
[ "1", "5", "17", "57", "675", "1329", "1425", "3803", "39617" ]
[ "nonn", "more" ]
11
1
2
[ "A000043", "A000203", "A000668", "A023194", "A023195", "A253850", "A253851", "A367460", "A368651", "A377927" ]
null
J.W.L. (Jan) Eerland, Nov 11 2024
2024-11-14T08:23:32
oeisdata/seq/A377/A377927.seq
5874fe4bd3fcab52cea75837e62c6a9b
A377928
The indices k where A377015(k) = 1.
[ "1", "2039", "2703", "30083", "32155", "32437", "86925", "292101", "339137", "430611", "669371", "670563", "727051", "1161819", "1534325", "1541819", "1543011", "2027935", "2718001", "3266661", "3273829", "3730467", "4805861", "4806143", "5534871", "6371063", "7834735", "8926025", "9293575", "9664815", "12629449", "13645059", "13645723", "16510691", "19947389", "19952425", "22519739", "22520381", "24820941", "26657853", "26658495" ]
[ "nonn" ]
7
1
2
[ "A316667", "A328909", "A328929", "A343678", "A358150", "A358278", "A362027", "A377015", "A377928" ]
null
Scott R. Shannon, Nov 11 2024
2024-11-24T00:05:44
oeisdata/seq/A377/A377928.seq
e039814f5d48296a77a00df52f075fcb
A377929
Quasi-practical numbers: positive integers m such that every k <= sigma(m)-m is a sum of distinct proper divisors of m.
[ "1", "2", "3", "4", "5", "6", "7", "8", "11", "12", "13", "16", "17", "18", "19", "20", "23", "24", "28", "29", "30", "31", "32", "36", "37", "40", "41", "42", "43", "47", "48", "53", "54", "56", "59", "60", "61", "64", "66", "67", "71", "72", "73", "78", "79", "80", "83", "84", "88", "89", "90", "96", "97", "100", "101", "103", "104", "107", "108", "109", "112", "113", "120", "126", "127", "128" ]
[ "nonn", "easy" ]
27
1
2
[ "A000040", "A002093", "A005153", "A033630", "A083207", "A103288", "A119348", "A174533", "A174973", "A377929" ]
null
Andrzej Kukla, Nov 11 2024
2024-12-30T02:24:10
oeisdata/seq/A377/A377929.seq
47d65aa4ae6042af82e4c42ac92517d7
A377930
Square array A(n, k), n, k > 0, read by antidiagonals; A(n, k) = max(A007814(n), A007814(k)).
[ "0", "1", "1", "0", "1", "0", "2", "1", "1", "2", "0", "2", "0", "2", "0", "1", "1", "2", "2", "1", "1", "0", "1", "0", "2", "0", "1", "0", "3", "1", "1", "2", "2", "1", "1", "3", "0", "3", "0", "2", "0", "2", "0", "3", "0", "1", "1", "3", "2", "1", "1", "2", "3", "1", "1", "0", "1", "0", "3", "0", "1", "0", "3", "0", "1", "0", "2", "1", "1", "2", "3", "1", "1", "3", "2", "1", "1", "2", "0", "2", "0", "2", "0", "3", "0", "3", "0", "2", "0", "2", "0" ]
[ "nonn", "easy", "tabl" ]
21
1
7
[ "A003984", "A007814", "A053398", "A377930" ]
null
Rémy Sigrist, Nov 11 2024
2024-11-13T08:29:07
oeisdata/seq/A377/A377930.seq
e7e6bc7ab0a447409f2b388eed12aa57
A377931
a(n) is the numerator of the third convergent of the continued fraction of n^(1/n).
[ "7", "10", "7", "4", "4", "33", "9", "5", "5", "46", "11", "6", "6", "109", "19", "7", "7", "7", "36", "15", "8", "8", "121", "25", "17", "9", "9", "73", "28", "10", "10", "10", "61", "21", "11", "11", "11", "67", "23", "12", "12", "12", "85", "37", "13", "13", "13", "131", "40", "27", "14", "14", "323", "57", "29", "15", "15", "15", "91", "31", "16", "16", "16", "209", "49", "33", "17", "17", "17" ]
[ "nonn", "frac" ]
15
2
1
[ "A090663", "A377931", "A377932" ]
null
Hugo Pfoertner, Nov 11 2024
2025-03-16T12:42:54
oeisdata/seq/A377/A377931.seq
3f67ef9f9c3d71a09ec9c23a6d32c05d
A377932
a(n) is the denominator of the third convergent of the continued fraction of n^(1/n).
[ "5", "7", "5", "3", "3", "25", "7", "4", "4", "37", "9", "5", "5", "91", "16", "6", "6", "6", "31", "13", "7", "7", "106", "22", "15", "8", "8", "65", "25", "9", "9", "9", "55", "19", "10", "10", "10", "61", "21", "11", "11", "11", "78", "34", "12", "12", "12", "121", "37", "25", "13", "13", "300", "53", "27", "14", "14", "14", "85", "29", "15", "15", "15", "196", "46", "31", "16", "16", "16" ]
[ "nonn", "frac" ]
14
2
1
[ "A090663", "A377931", "A377932" ]
null
Hugo Pfoertner, Nov 11 2024
2025-03-16T12:43:10
oeisdata/seq/A377/A377932.seq
217ceb20edb1da2886cac0f5b5ddd384
A377933
First differences of consecutive perfect powers m^k with k>=3 (A076467).
[ "7", "8", "11", "5", "32", "17", "44", "3", "88", "27", "13", "87", "169", "113", "104", "271", "24", "272", "35", "397", "320", "139", "10", "204", "343", "381", "250", "721", "817", "919", "729", "298", "917", "224", "192", "1069", "739", "648", "1519", "1657", "817", "984", "759", "423", "769", "2107", "1053", "1216", "2437", "2611", "1561", "1230", "2977", "3169", "2479", "888" ]
[ "nonn", "easy" ]
17
1
1
[ "A001597", "A053289", "A076467", "A377933" ]
null
Hugo Pfoertner, Nov 24 2024
2024-11-26T12:02:17
oeisdata/seq/A377/A377933.seq
1943c69e56ac3fa524a6116eda730e44
A377934
a(n) is the number of perfect powers m^k with k>=3 (A076467) <= 10^n.
[ "1", "2", "7", "17", "38", "75", "152", "306", "616", "1260", "2598", "5401", "11307", "23798", "50316", "106776", "227236", "484737", "1036002", "2217529", "4752349", "10194727", "21887147", "47020054", "101065880", "217325603", "467484989", "1005881993", "2164843035", "4660016778", "10032642455", "21602193212", "46518438071" ]
[ "nonn" ]
11
0
2
[ "A070428", "A076467", "A377934", "A378168" ]
null
Hugo Pfoertner, Nov 24 2024
2024-11-24T20:35:01
oeisdata/seq/A377/A377934.seq
fa197d5ae93d409b8356896d28db775c
A377935
Decimal expansion of the area enclosed by the locus of the centroid of a Reuleaux triangle.
[ "0", "7", "9", "3", "2", "9", "5", "4", "7", "2", "8", "0", "7", "2", "5", "7", "1", "4", "6", "9", "6", "2", "8", "6", "0", "6", "3", "3", "7", "9", "7", "8", "5", "4", "4", "0", "1", "9", "6", "3", "3", "4", "7", "4", "5", "2", "5", "5", "6", "7", "5", "1", "7", "4", "2", "9", "0", "0", "5", "7", "9", "6", "4", "1", "9", "6", "5", "8", "2", "2", "6", "7", "4", "1", "7", "9", "1", "3", "0", "1", "1", "9", "2", "3", "1", "7", "3" ]
[ "nonn", "cons" ]
18
0
2
[ "A066666", "A377935" ]
null
Kritsada Moomuang, Nov 11 2024
2025-04-03T04:14:49
oeisdata/seq/A377/A377935.seq
5e7e44d6e7f15ae5b788ff3b87a6d745
A377936
Number of matchings in the complete planted binary tree with 2^n leaves.
[ "2", "4", "24", "720", "712800", "666860040000", "597568733024952150000000", "474258018883889933710067708314342382812500000000" ]
[ "nonn" ]
20
0
1
[ "A338293", "A377936" ]
null
Atabey Kaygun, Nov 11 2024
2024-11-15T09:03:34
oeisdata/seq/A377/A377936.seq
50a75ff4cfaea112b0b17a7f205c0bce
A377937
Number of primes in the interval [n - A000005(n), n + A000005(n)].
[ "1", "2", "3", "4", "3", "4", "2", "3", "2", "3", "2", "4", "2", "3", "4", "4", "2", "4", "2", "3", "3", "2", "1", "5", "1", "2", "3", "3", "2", "4", "2", "3", "3", "2", "2", "5", "1", "2", "3", "4", "2", "4", "2", "3", "3", "2", "1", "4", "1", "2", "2", "2", "1", "4", "2", "3", "3", "2", "2", "5", "2", "2", "3", "4", "2", "5", "1", "3", "3", "3", "2", "6", "2", "2", "3", "3", "2", "4", "1", "5", "2", "2", "1", "4", "2", "2", "2", "2", "1", "5", "1", "2", "2", "1", "1", "5" ]
[ "nonn" ]
20
1
2
[ "A000005", "A000040", "A000720", "A049820", "A062249", "A377937" ]
null
Ctibor O. Zizka, Nov 11 2024
2024-11-13T16:36:39
oeisdata/seq/A377/A377937.seq
4f7650062fd340e3bb7e0569d2973e90
A377938
a(n) is the least k > n such that n is a primitive root modulo k, or -1 if there is no such k.
[ "2", "3", "4", "-1", "6", "11", "10", "11", "-1", "17", "13", "17", "19", "17", "19", "-1", "22", "29", "22", "23", "23", "25", "25", "31", "-1", "29", "29", "41", "34", "41", "34", "37", "38", "41", "37", "-1", "46", "47", "47", "47", "47", "59", "46", "47", "47", "67", "49", "53", "-1", "53", "53", "59", "62", "59", "58", "59", "67", "73", "61", "73", "67", "71", "67", "-1", "71", "79", "71", "71", "71", "79", "82", "83", "83", "79", "79" ]
[ "sign" ]
12
1
1
[ "A023049", "A377938", "A377939", "A377940" ]
null
Robert Israel, Nov 11 2024
2024-11-11T22:26:08
oeisdata/seq/A377/A377938.seq
4a5ae296d855fcc6b1ae983b17ff1b1b
A377939
Nonsquares k such that A377938(k) is not a prime.
[ "3", "5", "7", "17", "19", "22", "23", "29", "31", "33", "37", "43", "47", "53", "55", "71", "85", "87", "89", "91", "102", "103", "105", "106", "109", "111", "112", "113", "115", "116", "117", "122", "123", "133", "139", "141", "143", "145", "149", "153", "155", "157", "162", "163", "167", "175", "177", "191", "193", "199", "201", "203", "209", "211", "221", "223", "233", "239", "241", "243", "245", "247", "249", "253" ]
[ "nonn" ]
6
1
1
[ "A023049", "A377938", "A377939" ]
null
Robert Israel, Nov 11 2024
2024-11-11T22:26:20
oeisdata/seq/A377/A377939.seq
8e5d8afb346b1b4fdf29b8b3e0fb7fec
A377940
a(n) is the least number k such that the least j > k for which k is a primitive root is also the least j > n + k for which n + k is a primitive root, or -1 if there is no such k.
[ "20", "6", "32", "10", "39", "28", "38", "18", "18", "42", "46", "42", "88", "42", "46", "173", "46", "78", "229", "102", "102", "294", "78", "150", "210", "150", "210", "193", "232", "193", "848", "488", "330", "226", "226", "328", "488", "328", "294", "172", "172", "294", "294", "294", "462", "328", "736", "328", "328", "294", "1098", "328", "328", "1196", "172", "172", "1322", "172", "1196", "856", "1108", "889" ]
[ "nonn" ]
6
1
1
[ "A377938", "A377940" ]
null
Robert Israel, Nov 11 2024
2024-11-11T22:26:36
oeisdata/seq/A377/A377940.seq
b3d983aa9065e269f5ca856998071c70
A377941
Triangle read by rows: T(n,k) = number of free polyominoes with n cells, where the maximum number of cells in any row or column is k.
[ "1", "0", "1", "0", "1", "1", "0", "2", "2", "1", "0", "1", "8", "2", "1", "0", "1", "17", "13", "3", "1", "0", "1", "39", "45", "19", "3", "1", "0", "1", "79", "182", "77", "25", "4", "1", "0", "1", "162", "607", "363", "114", "33", "4", "1", "0", "1", "301", "2004", "1539", "593", "170", "41", "5", "1", "0", "1", "589", "6139", "6361", "2764", "928", "234", "51", "5", "1", "0", "1", "1141", "18278", "25072", "12733", "4597", "1387", "323", "61", "6", "1" ]
[ "nonn", "tabl" ]
26
1
8
[ "A000105", "A377941", "A377942" ]
null
Dave Budd, Nov 11 2024
2025-02-14T10:49:57
oeisdata/seq/A377/A377941.seq
e2f2eab16500078d3c9172b09e50dd15
A377942
Triangle read by rows: T(n,k) = number of free polyominoes with n cells, where the maximum number of collinear cell centers on any line in the plane is k.
[ "1", "0", "1", "0", "1", "1", "0", "2", "2", "1", "0", "0", "9", "2", "1", "0", "0", "18", "13", "3", "1", "0", "0", "37", "48", "19", "3", "1", "0", "0", "62", "200", "77", "25", "4", "1", "0", "0", "86", "678", "369", "114", "33", "4", "1", "0", "0", "78", "2177", "1590", "593", "170", "41", "5", "1", "0", "0", "61", "6280", "6739", "2774", "928", "234", "51", "5", "1", "0", "0", "34", "17187", "27153", "12851", "4597", "1387", "323", "61", "6", "1" ]
[ "nonn", "tabl" ]
34
1
8
[ "A000105", "A377941", "A377942" ]
null
Dave Budd, Nov 11 2024
2025-02-14T17:28:05
oeisdata/seq/A377/A377942.seq
278a9e8fc8b996cc3e2dfd9e7ddeb35e
A377943
Cogrowth sequence of the 16-element Pauli group C4 o D4 = <S,T,U | s^4, T^2, U^2, S^2(TU)^2, [S,T], [S,U]>.
[ "1", "1", "11", "91", "821", "7381", "66431", "597871", "5380841", "48427561", "435848051", "3922632451", "35303692061", "317733228541", "2859599056871", "25736391511831", "231627523606481", "2084647712458321", "18761829412124891", "168856464709124011", "1519708182382116101", "13677373641439044901" ]
[ "nonn", "easy" ]
14
0
3
[ "A047854", "A070775", "A377855", "A377943", "C2", "C4", "D4" ]
null
Sean A. Irvine, Nov 11 2024
2024-11-14T21:19:00
oeisdata/seq/A377/A377943.seq
a40ffc4c6e9be4b6b8624fd348cfa3ec
A377944
Cogrowth sequence of the 16-element dicyclic group Q16 = <S,T | S^8, T^4, (ST)^4, TST^3S>.
[ "1", "0", "1", "12", "28", "120", "544", "2016", "8128", "33024", "130816", "523776", "2099200", "8386560", "33550336", "134234112", "536854528", "2147450880", "8590065664", "34359607296", "137438691328", "549756862464", "2199022206976", "8796090925056", "35184380477440", "140737479966720", "562949936644096" ]
[ "nonn", "easy" ]
6
0
4
[ "A007582", "A071930", "A377656", "A377735", "A377840", "A377883", "A377885", "A377944", "C2", "C8", "D16", "D8", "M4", "Q8" ]
null
Sean A. Irvine, Nov 11 2024
2024-11-12T12:20:35
oeisdata/seq/A377/A377944.seq
91641793434c19b473fcc1c2170d560e
A377945
Numbers k such that the trajectory of k under the `3x-1' map reaches k+1.
[ "1", "3", "9", "13", "15", "18", "19", "33", "49", "67", "73", "90", "109", "163", "391", "522", "607", "729", "810", "1093", "1639" ]
[ "nonn", "more" ]
18
1
2
[ "A001281", "A377945" ]
null
Kevin Ge, Nov 11 2024
2025-01-31T23:44:21
oeisdata/seq/A377/A377945.seq
ec7172d263ce04653908513a47eb7430
A377946
Cogrowth sequence of the 16-element group C2^2:C4 = <S,T | S^4, T^2, (ST)^2, (S^2T)^2>.
[ "1", "1", "2", "10", "40", "136", "512", "2080", "8320", "32896", "131072", "524800", "2099200", "8390656", "33554432", "134225920", "536903680", "2147516416", "8589934592", "34359869440", "137439477760", "549756338176", "2199023255552", "8796095119360", "35184380477440", "140737496743936", "562949953421312" ]
[ "nonn", "easy" ]
4
0
3
[ "A054879", "A377843", "A377855", "A377943", "A377946", "C2", "C4", "D4" ]
null
Sean A. Irvine, Nov 11 2024
2024-11-11T22:29:21
oeisdata/seq/A377/A377946.seq
8e3617043e4fd824b2ee6a2da9ae1038
A377947
Unfriendly EKG sequence: a(1) = 1; a(2) = 3; for n > 2, a(n) = least number not already used which shares a factor with a(n-1) and is less than half or more than twice a(n-1).
[ "1", "3", "9", "21", "6", "2", "8", "18", "4", "10", "22", "46", "12", "26", "54", "14", "30", "5", "15", "33", "11", "44", "16", "34", "70", "7", "28", "58", "20", "42", "86", "24", "50", "102", "17", "51", "105", "25", "55", "115", "23", "69", "27", "57", "19", "76", "32", "66", "134", "36", "74", "150", "35", "75", "153", "39", "13", "52", "106", "38", "78", "158", "40", "82", "166", "48", "98", "198", "45", "93", "31", "124" ]
[ "nonn" ]
12
1
2
[ "A064413", "A377947" ]
null
Will Nicholes, Nov 11 2024
2024-11-30T13:01:29
oeisdata/seq/A377/A377947.seq
51779c4aa3ca9155dd32be06011ff893
A377948
Numbers that have at least 1 repeated decimal digit and whose decimal digits are nondecreasing as place value decreases.
[ "11", "22", "33", "44", "55", "66", "77", "88", "99", "111", "112", "113", "114", "115", "116", "117", "118", "119", "122", "133", "144", "155", "166", "177", "188", "199", "222", "223", "224", "225", "226", "227", "228", "229", "233", "244", "255", "266", "277", "288", "299", "333", "334", "335", "336", "337", "338", "339", "344", "355", "366", "377", "388", "399" ]
[ "nonn", "base", "easy" ]
17
1
1
[ "A009993", "A009994", "A009995", "A109303", "A178788", "A377948" ]
null
Michael De Vlieger, Nov 14 2024
2025-06-21T19:58:53
oeisdata/seq/A377/A377948.seq
2007d468d38757a615012f98da7a325e
A377949
Numbers k such that k | A377484(k) and (k+1) | A377484(k+1).
[ "156519", "245024", "310155", "524799", "638000", "893024", "1079000", "2055780", "2095975", "2203200", "2566025", "2592512", "2853135", "2934063", "3213375", "3294719", "4056975", "4322240", "4471935", "5746455", "6515145", "7289919", "7316000", "7329608", "7866495", "8459360", "8555624", "8934464", "9035415", "11291091" ]
[ "nonn" ]
10
1
1
[ "A056954", "A355332", "A377484", "A377949", "A377951", "A377953" ]
null
Amiram Eldar, Nov 12 2024
2024-11-13T17:22:30
oeisdata/seq/A377/A377949.seq
552972c4dcb8fabf315cdc9d0d589eee
A377950
Numbers k that divide A057643(k) = lcm{d+1 : d|k}.
[ "1", "2", "6", "12", "42", "60", "84", "120", "140", "156", "168", "210", "220", "240", "280", "312", "360", "420", "440", "462", "468", "504", "600", "630", "660", "720", "770", "780", "840", "924", "936", "1008", "1064", "1092", "1170", "1200", "1260", "1320", "1404", "1428", "1540", "1560", "1680", "1683", "1800", "1806", "1848", "1860", "1980", "2016", "2160" ]
[ "nonn", "easy" ]
7
1
2
[ "A056954", "A057643", "A355331", "A377950", "A377951", "A377952" ]
null
Amiram Eldar, Nov 12 2024
2024-11-13T17:22:41
oeisdata/seq/A377/A377950.seq
439ce5715c197f381d662d9413d33f77
A377951
Numbers k such that k | A057643(k) and (k+1) | A057643(k+1).
[ "1", "799799", "1204280", "2460975", "3382379", "6116175", "7050120", "8070699", "13339424", "20966049", "28460600", "41265680", "41463135", "52404624", "66108399", "68919080", "72946224", "81102944", "84479680", "102971924", "106663304", "110791736", "112375899", "115225439", "118333215", "131115984", "132073424" ]
[ "nonn" ]
12
1
2
[ "A057643", "A355332", "A377949", "A377950", "A377951", "A377953" ]
null
Amiram Eldar, Nov 12 2024
2024-11-16T04:28:25
oeisdata/seq/A377/A377951.seq
22705219bf30949791a321584200be42
A377952
Numbers k that divide A084190(k) = lcm{d-1 : d > 1 and d|k}.
[ "1", "30", "60", "90", "105", "132", "180", "210", "252", "264", "360", "380", "420", "495", "504", "520", "528", "546", "630", "660", "756", "840", "858", "870", "924", "990", "1040", "1056", "1092", "1140", "1224", "1260", "1320", "1365", "1485", "1512", "1530", "1560", "1638", "1656", "1716", "1722", "1740", "1785", "1820", "1848", "1900", "1980", "2040" ]
[ "nonn", "easy" ]
7
1
2
[ "A056954", "A084190", "A355331", "A377950", "A377952", "A377953" ]
null
Amiram Eldar, Nov 12 2024
2024-11-13T17:23:00
oeisdata/seq/A377/A377952.seq
712cd6e2d74f6c5efe65d202f6850df6
A377953
Numbers k such that k | A084190(k) and (k+1) | A084190(k+1).
[ "310155", "2566025", "2853135", "5746455", "6515145", "7329608", "8459360", "11291091", "15446079", "16181535", "26782224", "26942475", "32364464", "34318844", "36951200", "38579442", "38596239", "38763900", "40564524", "41273154", "47308976", "47648600", "49309715", "50163735", "51177224", "52573520", "58524465", "63668079" ]
[ "nonn" ]
12
1
1
[ "A084190", "A355332", "A377949", "A377951", "A377952", "A377953" ]
null
Amiram Eldar, Nov 12 2024
2024-11-16T04:29:24
oeisdata/seq/A377/A377953.seq
5ba2994c2211b116942d29689f462d89
A377954
a(n) = n! * Sum_{k=0..n} binomial(k+2,n-k) / k!.
[ "1", "3", "9", "31", "117", "471", "2053", "9339", "45321", "227467", "1203681", "6556023", "37316029", "217944351", "1321360797", "8201728531", "52577120913", "344433580179", "2321103364921", "15960060854607", "112534486969221", "808555930139623", "5942117054417589", "44446333314841131" ]
[ "nonn", "easy" ]
12
0
2
[ "A018191", "A047974", "A377954", "A377955", "A377956" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-12T09:15:29
oeisdata/seq/A377/A377954.seq
6e883f6c7cf93d3e48dec53ce0640b33
A377955
a(n) = n! * Sum_{k=0..n} binomial(k+3,n-k) / k!.
[ "1", "4", "15", "58", "241", "1056", "4879", "23710", "120033", "635356", "3478351", "19796514", "115988305", "703052728", "4372581711", "28022140486", "183804777409", "1238244635700", "8520907808143", "60061024788106", "431735704061361", "3171780156493264", "23730347517489295", "181115025566445678" ]
[ "nonn", "easy" ]
9
0
2
[ "A018191", "A047974", "A377954", "A377955", "A377956" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-12T09:01:52
oeisdata/seq/A377/A377955.seq
04721caa8667f543d28dc78044d0d3fa
A377956
a(n) = n! * Sum_{k=0..n} binomial(k+4,n-k) / k!.
[ "1", "5", "23", "103", "473", "2261", "11215", "57863", "309713", "1715653", "9831911", "58058375", "353546473", "2210900693", "14215319903", "93610866151", "632159025185", "4362925851653", "30809311250743", "221958273142823", "1632956199823481", "12238229941781845", "93509510960341103", "726913018468699463" ]
[ "nonn", "easy" ]
6
0
2
[ "A018191", "A047974", "A377954", "A377955", "A377956" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-12T09:01:56
oeisdata/seq/A377/A377956.seq
ec6c5063d4fcbb5585742082c5da26b3
A377957
The number of iterations of the map x -> x + A001065(x) if A009194(x) = 1, x -> x / A009194(x) otherwise, starting from n, until reaching 1.
[ "0", "8", "7", "6", "2", "1", "5", "4", "8", "3", "9", "8", "7", "6", "3", "14", "3", "2", "5", "4", "13", "10", "10", "9", "14", "8", "8", "1", "4", "3", "13", "12", "10", "4", "10", "9", "7", "6", "7", "7", "7", "6", "11", "10", "4", "11", "10", "9", "10", "14", "4", "9", "10", "9", "11", "6", "9", "5", "4", "3", "15", "14", "11", "14", "9", "10", "6", "5", "11", "11", "11", "10", "9", "8", "15", "6", "6", "8", "9", "8", "12", "8", "9", "8", "10", "12", "5" ]
[ "nonn" ]
25
1
2
[ "A000203", "A001065", "A009194", "A377957" ]
null
Ctibor O. Zizka, Nov 12 2024
2024-11-13T17:20:44
oeisdata/seq/A377/A377957.seq
96b16642165ef69ac304a8bb4bce5a2a
A377958
Expansion of e.g.f. exp(x - x^2)/(1 - x).
[ "1", "2", "3", "4", "17", "126", "787", "5048", "39489", "361882", "3641411", "39948492", "478777873", "6226077014", "87182747667", "1307703873856", "20922694556417", "355686434950578", "6402375749061379", "121645136562423572", "2432901971620591761", "51090940751194252462", "1124000727777806326163" ]
[ "nonn" ]
6
0
2
[ "A018191", "A293604", "A377958", "A377959", "A377960" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-12T11:38:01
oeisdata/seq/A377/A377958.seq
c4c42400d47fa1e7e1eae231dddb4306
A377959
Expansion of e.g.f. exp(x - x^2)/(1 - x)^2.
[ "1", "3", "9", "31", "141", "831", "5773", "45459", "403161", "3990331", "43544721", "518940423", "6706062949", "93404895351", "1394851282581", "22230473112571", "376610264357553", "6758060929028979", "128047472471583001", "2554547113522500591", "53523844242070603581", "1175091669834676927663" ]
[ "nonn" ]
8
0
2
[ "A293604", "A377954", "A377958", "A377959", "A377960" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-12T11:37:54
oeisdata/seq/A377/A377959.seq
047a9adc75b7a7ccee889d07e46f3109
A377960
Expansion of e.g.f. exp(x - x^2)/(1 - x)^3.
[ "1", "4", "17", "82", "469", "3176", "24829", "219262", "2157257", "23405644", "277601161", "3572553194", "49576701277", "737902011952", "11725479449909", "198112664861206", "3546412902136849", "67047080265355412", "1334894917247980417", "27917550541234128514", "611874855066753173861", "14024463626236493578744" ]
[ "nonn" ]
7
0
2
[ "A293604", "A377955", "A377958", "A377959", "A377960" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-12T11:37:47
oeisdata/seq/A377/A377960.seq
a9fe3e0a16fe16893111e2707aef8269
A377961
Lexicographically earliest sequence of distinct positive integers such that the successive digits of the odd and even bisections are pairwise distinct.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "20", "12", "13", "14", "15", "16", "17", "18", "19", "21", "22", "30", "23", "24", "25", "26", "27", "28", "29", "31", "32", "33", "40", "34", "35", "36", "37", "38", "39", "41", "42", "43", "44", "50", "45", "46", "47", "48", "49", "51", "52", "53", "54", "55", "60", "56", "57", "58", "59", "61", "62", "63", "64", "65", "66", "70", "67", "68", "69", "71", "72", "73", "74", "75", "76", "77", "80", "78", "79", "81", "82", "83", "84", "85", "86", "87", "88", "90", "89", "100", "91", "92", "101" ]
[ "nonn", "base" ]
7
1
2
[ "A329127", "A377961" ]
null
Rémy Sigrist, Nov 12 2024
2024-11-14T08:19:54
oeisdata/seq/A377/A377961.seq
3be5305b104e9f58fcfdfde72442ab90
A377962
Decimal expansion of (8*G - Pi*log(2 + sqrt(3)))/3, where G = A006752.
[ "1", "0", "6", "3", "4", "5", "9", "8", "3", "3", "1", "1", "7", "2", "2", "7", "9", "3", "0", "7", "6", "7", "5", "0", "0", "3", "4", "5", "5", "8", "8", "4", "8", "2", "7", "5", "0", "5", "7", "1", "1", "3", "5", "2", "9", "5", "9", "0", "0", "5", "5", "5", "9", "9", "7", "5", "2", "2", "3", "8", "9", "6", "6", "1", "3", "1", "4", "2", "9", "7", "5", "8", "0", "5", "2", "1", "1", "0", "8", "4", "5", "6", "2", "1", "7", "6", "4", "5", "6", "2", "8", "1", "2", "8", "2", "3", "0", "8", "6", "9" ]
[ "nonn", "cons" ]
5
1
3
[ "A000796", "A006752", "A065918", "A377962" ]
null
Stefano Spezia, Nov 12 2024
2024-11-12T17:23:03
oeisdata/seq/A377/A377962.seq
78f66a93f2da6d5089ce2ccef027f622
A377963
Expansion of e.g.f. (1+x) * exp(x*(1+x)^2).
[ "1", "2", "7", "34", "173", "1066", "7147", "51962", "412729", "3478258", "31220111", "296409202", "2953487077", "30870965594", "336796018483", "3824230997386", "45114077004017", "551338045973602", "6968344940992279", "90931562913957698", "1222939213021853341", "16929504703420184842", "240909000856701880187" ]
[ "nonn", "easy" ]
12
0
2
[ "A018191", "A361278", "A377963", "A377964", "A377965" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-13T06:46:33
oeisdata/seq/A377/A377963.seq
29e222e60df49a5f5a0b685c1349389c
A377964
Expansion of e.g.f. (1+x) * exp(x*(1+x)^3).
[ "1", "2", "9", "58", "389", "3186", "29437", "294554", "3233673", "38350594", "484794641", "6522118362", "92857444429", "1390937221298", "21858658599429", "359271578140666", "6156249977141777", "109722278546645634", "2029772196329985433", "38893956306343711994", "770622936760496106261", "15763542538016019828082" ]
[ "nonn", "easy" ]
10
0
2
[ "A018191", "A361279", "A377963", "A377964", "A377966", "A377967" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-13T06:47:25
oeisdata/seq/A377/A377964.seq
31ac0507f0ce4ca0687ca1873c4043a7
A377965
Expansion of e.g.f. (1+x)^2 * exp(x*(1+x)^2).
[ "1", "3", "11", "55", "309", "1931", "13543", "101991", "828425", "7192819", "66002691", "639830423", "6510397501", "69266297595", "768989536799", "8876171274631", "106301772962193", "1318277355041891", "16892429768517115", "223330116792810999", "3041570471301007301", "42611228176879105003" ]
[ "nonn", "easy" ]
14
0
2
[ "A343884", "A361278", "A377954", "A377963", "A377965", "A377966" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-23T12:23:02
oeisdata/seq/A377/A377965.seq
09ec8fe1ba5c449c47982c9bd50f410f
A377966
Expansion of e.g.f. (1+x)^2 * exp(x*(1+x)^3).
[ "1", "3", "13", "85", "621", "5131", "48553", "500613", "5590105", "67453651", "868300581", "11854859413", "171122864773", "2598083998875", "41331779697601", "687151457132101", "11904595227392433", "214378528158055843", "4004773210169606845", "77459628036613435221", "1548502062887370346141" ]
[ "nonn", "easy" ]
9
0
2
[ "A361279", "A377954", "A377964", "A377965", "A377966", "A377967" ]
null
Seiichi Manyama, Nov 12 2024
2024-11-13T06:49:04
oeisdata/seq/A377/A377966.seq
22a9a8785bcc69f36c1fd4919cec634f
A377967
Expansion of e.g.f. (1+x)^3 * exp(x*(1+x)^3).
[ "1", "4", "19", "124", "961", "8236", "79339", "840484", "9595009", "117764596", "1542837091", "21406165804", "313381177729", "4822681240924", "77704955681851", "1307128152596116", "22899018541506049", "416756647023727204", "7863586717014612019", "153550319029835965276", "3097694623619639050561" ]
[ "nonn", "easy" ]
9
0
2
[ "A351767", "A361279", "A377964", "A377966", "A377967" ]
null
Seiichi Manyama, Nov 12 2024
2025-05-28T17:23:56
oeisdata/seq/A377/A377967.seq
6a12e91f545bd35a03ae71eb8c63a0bc
A377968
Decimal expansion of tan(arctan(4)/4).
[ "3", "4", "4", "1", "5", "0", "7", "3", "1", "4", "0", "8", "9", "1", "0", "8", "0", "7", "7", "1", "4", "7", "5", "9", "2", "2", "7", "8", "8", "5", "3", "4", "6", "8", "4", "7", "6", "0", "5", "6", "5", "0", "2", "0", "8", "3", "2", "5", "8", "4", "4", "0", "5", "8", "2", "4", "5", "8", "1", "7", "5", "1", "4", "8", "8", "0", "4", "5", "4", "0", "1", "0", "7", "8", "2", "8", "3", "5", "8", "4", "0", "3", "4", "3", "3", "3", "0", "5", "1", "0" ]
[ "nonn", "cons", "easy" ]
14
0
1
[ "A010473", "A019684", "A195628", "A377968" ]
null
Paolo Xausa, Nov 13 2024
2024-11-20T23:51:24
oeisdata/seq/A377/A377968.seq
08db39f732cbeccafa4a932db6a3df1f
A377969
Decimal expansion of the dihedral angle, in radians, between triangular faces in a snub cube.
[ "2", "6", "7", "4", "4", "4", "8", "0", "8", "3", "5", "3", "5", "2", "2", "8", "6", "8", "1", "5", "5", "6", "7", "4", "0", "8", "5", "5", "8", "5", "8", "7", "2", "8", "6", "4", "0", "9", "8", "5", "2", "2", "4", "9", "9", "7", "0", "6", "2", "2", "7", "6", "3", "8", "2", "4", "8", "0", "0", "6", "2", "7", "6", "5", "8", "2", "4", "2", "6", "4", "5", "6", "6", "4", "1", "2", "3", "4", "7", "1", "5", "1", "0", "4", "9", "8", "1", "5", "7", "3" ]
[ "nonn", "cons", "easy" ]
7
1
1
[ "A058265", "A377602", "A377603", "A377604", "A377605", "A377969", "A377970" ]
null
Paolo Xausa, Nov 13 2024
2024-11-13T16:31:46
oeisdata/seq/A377/A377969.seq
b503b78c4fa800f46021febb8bddb479
A377970
Decimal expansion of the dihedral angle, in radians, between triangular and square faces in a snub cube.
[ "2", "4", "9", "5", "5", "3", "1", "6", "3", "0", "5", "7", "7", "7", "3", "3", "4", "3", "4", "8", "3", "8", "2", "3", "4", "1", "6", "2", "6", "7", "7", "8", "8", "9", "8", "1", "0", "7", "8", "6", "7", "3", "0", "6", "0", "3", "6", "0", "5", "3", "1", "1", "6", "6", "1", "9", "1", "0", "9", "5", "2", "7", "3", "7", "3", "6", "2", "2", "9", "9", "0", "0", "3", "9", "0", "3", "2", "8", "8", "4", "4", "9", "5", "5", "8", "9", "7", "2", "0", "6" ]
[ "nonn", "cons", "easy" ]
7
1
1
[ "A058265", "A377602", "A377603", "A377604", "A377605", "A377969", "A377970" ]
null
Paolo Xausa, Nov 13 2024
2024-11-13T16:31:59
oeisdata/seq/A377/A377970.seq
078170d65f53f1b7ff3a14e352fbf5e0
A377971
Square array of primes p >= 7, read by decreasing antidiagonals. Each row lists, in increasing order, the primes that share the same sum of their neighboring prime gaps.
[ "7", "11", "29", "13", "31", "23", "17", "59", "37", "53", "19", "61", "47", "97", "89", "41", "73", "67", "139", "199", "223", "43", "137", "79", "149", "359", "251", "113", "71", "151", "83", "157", "367", "337", "127", "331", "101", "179", "131", "173", "389", "467", "307", "479", "631", "103", "239", "163", "181", "449", "547", "317", "523", "797", "211", "107", "269", "167", "191", "521", "557", "409", "953", "1087", "293", "1381" ]
[ "nonn", "tabl" ]
26
1
1
[ "A000040", "A001223", "A002260", "A006562", "A098414", "A377971" ]
null
Tamas Sandor Nagy, Nov 13 2024
2024-11-17T07:07:24
oeisdata/seq/A377/A377971.seq
29351bb9005ec608ae57d4cbe57358c8
A377972
a(n) is the greatest i such that 2n-prime(i) is also a prime, where prime(i) is the i-th prime.
[ "1", "2", "3", "4", "4", "5", "6", "6", "7", "8", "8", "9", "9", "9", "10", "11", "11", "11", "12", "12", "13", "14", "14", "15", "15", "15", "16", "16", "16", "17", "18", "18", "18", "19", "19", "20", "21", "21", "21", "22", "22", "23", "23", "23", "24", "24", "24", "22", "25", "25", "26", "27", "27", "28", "29", "29", "30", "30", "30", "29", "30", "30", "29", "31", "31", "32" ]
[ "nonn" ]
19
2
2
[ "A000040", "A000720", "A020482", "A377758", "A377972" ]
null
Michel Eduardo Beleza Yamagishi, Nov 13 2024
2024-11-19T02:23:56
oeisdata/seq/A377/A377972.seq
fc2a85eb42380de952d46de63fcba8d5
A377973
Expansion of the 96th root of the series 2*E_2(x) - E_2(x)^2, where E_2 is the Eisenstein series of weight 2.
[ "1", "0", "-6", "-36", "-1812", "-20748", "-773340", "-12237456", "-386587650", "-7368446268", "-211914644940", "-4517757977820", "-123221458979940", "-2814502962357420", "-74551748141034552", "-1778129476480366320", "-46377354051910716180", "-1137191336376638407704", "-29438532048777299115090", "-735051729258136807204140" ]
[ "sign", "easy" ]
15
0
3
[ "A006352", "A281374", "A289392", "A341801", "A341871", "A341875", "A377973", "A377974", "A377975", "A377976", "A377977" ]
null
Peter Bala, Nov 13 2024
2024-11-26T16:27:14
oeisdata/seq/A377/A377973.seq
65ece25abe53d57ae1517f7af15a90fa
A377974
Expansion of the 1920th root of the series 2*E_4(x) - E_8(x), where E_4 and E_8 are the Eisenstein series of weight 4 and weight 8.
[ "1", "0", "-30", "-540", "-867660", "-31107300", "-33668157900", "-1795572812400", "-1477793386682970", "-103845834995498100", "-69550699526934273180", "-6017200267937951322660", "-3426636160378174348594500", "-349303370036461528632524580", "-174458882971934188146144343320", "-20314204536496741742949242177040" ]
[ "sign", "easy" ]
15
0
3
[ "A004009", "A008410", "A108091", "A341871", "A341875", "A377973", "A377974", "A377975", "A377976", "A377977" ]
null
Peter Bala, Nov 13 2024
2024-11-26T16:27:35
oeisdata/seq/A377/A377974.seq
554aac4937d79ae9a67fbf14ed8c79d8
A377975
Expansion of the 6048th root of the series 2*E_6(x) - E_6(x)^2, where E_6 is the Eisenstein series of weight 6.
[ "1", "0", "-42", "-2772", "-5399688", "-704781084", "-943173698460", "-180121119486672", "-188146584694894350", "-46293152603021155692", "-40574254265781269371884", "-11963000065787771567311500", "-9221266403646163252100062068", "-3107813621461888912485774582588", "-2176998806586925223600540321844120" ]
[ "sign", "easy" ]
10
0
3
[ "A013973", "A109817", "A280869", "A341871", "A341875", "A377973", "A377974", "A377975", "A377976", "A377977" ]
null
Peter Bala, Nov 14 2024
2024-11-26T16:28:44
oeisdata/seq/A377/A377975.seq
fd51fdc8032c3c2a31f076e64ecc014f
A377976
Expansion of the 48th root of the series 2*E_2(x) - E_4(x), where E_2(x) and E_4(x) are the Eisenstein series of weight 2 and 4.
[ "1", "-6", "-894", "-174420", "-38431614", "-9048710040", "-2221653118116", "-561444889080960", "-144914324838755910", "-38011797621225586602", "-10098281618881696696392", "-2710458654395655881518356", "-733711171629600485187568404", "-200033609249999737396399900920", "-54867682197669353983111639906656" ]
[ "sign", "easy" ]
11
0
2
[ "A004009", "A004068", "A006352", "A108091", "A289392", "A341871", "A341875", "A377973", "A377974", "A377975", "A377976", "A377977" ]
null
Peter Bala, Nov 14 2024
2024-11-26T16:28:21
oeisdata/seq/A377/A377976.seq
36a06d80c1d5228cc0ff99ea79b45f84
A377977
Expansion of the 288th root of the series 3*E_4(x) - 2*E_6(x), where E_4(x) and E_6(x) are the Eisenstein series of weight 4 and 6.
[ "1", "6", "-5028", "5704188", "-7284893010", "9926715853068", "-14092613175928308", "20580782244716567592", "-30684764269418402550900", "46478269075227117026711730", "-71284154421570122590465786956", "110437754516732491586466670733772", "-172528135408494997625486967978486588", "271418933884659782820559630827037837908" ]
[ "sign", "easy" ]
8
0
2
[ "A004009", "A013973", "A108091", "A109817", "A245380", "A341871", "A341875", "A377973", "A377974", "A377975", "A377977" ]
null
Peter Bala, Nov 15 2024
2024-11-26T16:28:02
oeisdata/seq/A377/A377977.seq
0bdda7753e95825196c45b6d8dbc7e36
A377978
Total number of coronal tilings for a width one length n straight polyiamond with the T2 triangle.
[ "2", "2", "6", "11", "6", "2", "6", "11", "6", "2", "6", "11", "6", "2" ]
[ "nonn", "more" ]
36
1
1
[ "A376899", "A377978" ]
null
Craig Knecht, Nov 26 2024
2024-11-29T21:38:54
oeisdata/seq/A377/A377978.seq
975a0d67f4416317eb21feba5c248c8f
A377979
List of exponents in the expansion of (1 - q)*Sum_{n >= 0} q^(2*n*(n+1))*Product_{k >= 2*n+1} 1 - q^k.
[ "0", "1", "3", "4", "6", "8", "11", "13", "18", "20", "26", "29", "35", "39", "46", "50", "59", "63", "73", "78", "88", "94", "105", "111", "124", "130", "144", "151", "165", "173", "188", "196", "213", "221", "239", "248", "266", "276", "295", "305", "326", "336", "358", "369", "391", "403", "426", "438", "463", "475", "501", "514", "540", "554", "581", "595", "624", "638", "668", "683", "713", "729", "760", "776", "809", "825" ]
[ "nonn", "easy" ]
19
1
3
[ "A033577", "A033578", "A152749", "A204221", "A244806", "A268539", "A377979" ]
null
Peter Bala, Dec 16 2024
2025-01-29T22:31:11
oeisdata/seq/A377/A377979.seq
86915f4a522d951ec08e0846d9e4dd76
A377980
Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, the binary expansions of A184616(n) and A184616(a(n)) have no common 1's.
[ "0", "1", "2", "4", "3", "5", "7", "6", "8", "9", "10", "14", "15", "16", "11", "12", "13", "17", "18", "20", "19", "21", "27", "28", "29", "30", "31", "22", "23", "24", "25", "26", "32", "33", "34", "36", "35", "37", "39", "38", "40", "41", "42", "54", "55", "56", "57", "58", "59", "60", "61", "62", "63", "64", "43", "44", "45", "46", "47", "48", "49", "50", "51", "52", "53", "65", "66", "68" ]
[ "nonn", "base" ]
12
0
3
[ "A001045", "A184616", "A377980" ]
null
Rémy Sigrist, Dec 28 2024
2024-12-30T16:07:42
oeisdata/seq/A377/A377980.seq
114efc7ed9b4a7bd9ae17f3d91007fb2
A377981
Decimal expansion of G/2 - Pi*log(2)/8, where G = A006752.
[ "1", "8", "5", "7", "8", "4", "5", "3", "5", "8", "0", "0", "6", "5", "9", "2", "4", "1", "2", "1", "4", "7", "1", "5", "6", "4", "5", "1", "8", "6", "4", "9", "0", "3", "1", "1", "9", "6", "9", "7", "5", "1", "7", "2", "4", "5", "9", "4", "6", "7", "5", "2", "8", "0", "3", "4", "2", "5", "2", "4", "6", "5", "3", "1", "6", "1", "5", "9", "2", "9", "4", "1", "2", "4", "1", "0", "3", "4", "6", "3", "6", "4", "3", "5", "8", "8", "7", "1", "3", "6", "2", "6", "1", "7", "2", "4", "6", "7", "4", "9" ]
[ "nonn", "cons" ]
4
0
2
[ "A006752", "A102886", "A377981" ]
null
Stefano Spezia, Nov 13 2024
2024-11-13T16:39:19
oeisdata/seq/A377/A377981.seq
aa1d46b008692518ddafe38d7539c5cc
A377982
a(n) is the number of terms of A048103 (numbers with no p^p divisors) less than or equal to n.
[ "0", "1", "2", "3", "3", "4", "5", "6", "6", "7", "8", "9", "9", "10", "11", "12", "12", "13", "14", "15", "15", "16", "17", "18", "18", "19", "20", "20", "20", "21", "22", "23", "23", "24", "25", "26", "26", "27", "28", "29", "29", "30", "31", "32", "32", "33", "34", "35", "35", "36", "37", "38", "38", "39", "39", "40", "40", "41", "42", "43", "43", "44", "45", "46", "46", "47", "48", "49", "49", "50", "51", "52", "52", "53", "54", "55", "55", "56", "57", "58", "58", "58", "59" ]
[ "nonn" ]
11
0
3
[ "A048103", "A276086", "A359550", "A376411", "A377982", "A377983" ]
null
Antti Karttunen, Nov 13 2024
2024-11-13T13:53:27
oeisdata/seq/A377/A377982.seq
d9a51dbceea1b28f2d7554f1e357faa2
A377983
a(n) is the number of terms in the range of A276087 that are <= n, where A276087(n) = A276086(A276086(n)) [the twofold application of the primorial base exp-function].
[ "0", "0", "1", "2", "2", "3", "4", "5", "5", "5", "6", "7", "7", "8", "9", "9", "9", "10", "11", "12", "12", "12", "13", "14", "14", "14", "15", "15", "15", "16", "17", "18", "18", "18", "19", "19", "19", "20", "21", "21", "21", "22", "23", "24", "24", "25", "26", "27", "27", "27", "28", "28", "28", "29", "29", "29", "29", "29", "30", "31", "31", "32", "33", "34", "34", "34", "35", "36", "36", "36", "37", "38", "38", "39", "40", "41", "41", "41", "42", "43", "43", "43", "44", "45" ]
[ "nonn" ]
12
0
4
[ "A276085", "A276087", "A359550", "A377870", "A377871", "A377982", "A377983" ]
null
Antti Karttunen, Nov 13 2024
2024-11-13T13:53:33
oeisdata/seq/A377/A377983.seq
aa88bdec63a486785cf003e7eea61171
A377984
a(n) = 2*sigma(n) - A003961(n), where sigma is the sum of divisors function and A003961 is fully multiplicative function with a(prime(i)) = prime(i+1).
[ "1", "3", "3", "5", "5", "9", "5", "3", "1", "15", "11", "11", "11", "15", "13", "-19", "17", "3", "17", "21", "9", "33", "19", "-15", "13", "33", "-45", "13", "29", "39", "27", "-117", "31", "51", "19", "-43", "35", "51", "27", "-9", "41", "27", "41", "51", "-19", "57", "43", "-157", "-7", "39", "49", "43", "49", "-135", "53", "-57", "45", "87", "59", "21", "57", "81", "-67", "-475", "49", "93", "65", "81", "47", "57", "71", "-285", "69", "105", "3", "73", "49", "81" ]
[ "sign" ]
7
1
2
[ "A000203", "A003961", "A337378", "A337379", "A337380", "A377984", "A377985" ]
null
Antti Karttunen, Nov 16 2024
2024-11-16T18:48:30
oeisdata/seq/A377/A377984.seq
11ad155c250c345bf1fdffe9c20365d7
A377985
a(n) = 2*n - phi(A003961(n)), where phi is Euler totient function and A003961 is fully multiplicative function with a(prime(i)) = prime(i+1).
[ "1", "2", "2", "2", "4", "4", "4", "-2", "-2", "8", "10", "0", "10", "8", "6", "-22", "16", "-4", "16", "4", "2", "20", "18", "-24", "8", "20", "-46", "-4", "28", "12", "26", "-98", "18", "32", "10", "-48", "34", "32", "14", "-28", "40", "4", "40", "16", "-30", "36", "42", "-120", "-12", "16", "30", "8", "48", "-92", "38", "-68", "26", "56", "58", "-24", "56", "52", "-74", "-358", "34", "36", "64", "28", "26", "20", "70", "-216", "68", "68", "-18", "20", "34", "28" ]
[ "sign" ]
6
1
2
[ "A000010", "A003961", "A003972", "A008683", "A377984", "A377985" ]
null
Antti Karttunen, Nov 16 2024
2024-11-16T18:48:35
oeisdata/seq/A377/A377985.seq
d1e95902938231f3b6687452b411cbf0
A377986
Number of integers k, with bigomega(k) > 2, whose arithmetic derivative (A003415) is equal to n!, the n-th factorial.
[ "0", "0", "0", "1", "1", "1", "2", "1", "2", "6", "0", "4", "4", "3", "7" ]
[ "nonn", "hard", "more" ]
12
1
7
[ "A000142", "A002620", "A003415", "A062311", "A376410", "A377986", "A377987" ]
null
Antti Karttunen, Nov 19 2024
2024-11-21T15:30:21
oeisdata/seq/A377/A377986.seq
c7e1c12381070c9562979be09a5c25cc
A377987
Irregular triangle giving on row n all those antiderivatives k of the n-th factorial, for which bigomega(k) > 2.
[ "20", "116", "716", "2512", "5036", "40316", "84672", "176364", "1390500", "1782108", "3628773", "3628796", "10529953", "12258673", "76944384", "5338541473", "8944397353", "11690698969", "1236868096", "1849666112", "3096111708", "1004929973233", "54465962625", "1657198101073", "6791831913289", "1307674367996", "5739085040351", "21522396453889", "63577408859233", "104747513922049", "287711613106993", "626768279186209" ]
[ "nonn", "tabf", "hard", "more" ]
16
4
1
[ "A000142", "A001222", "A003415", "A366890", "A369240", "A377986", "A377987", "A377992" ]
null
Antti Karttunen, Nov 21 2024
2024-11-21T15:30:25
oeisdata/seq/A377/A377987.seq
9984aa1092e0874a2db24b18e615d22c
A377988
a(n) = A359550(A003415(A276085(n))), where A359550 is multiplicative with a(p^e) = 1 if p > e, otherwise 0, A003415 is the arithmetic derivative, and A276085 is fully additive with a(p) = p#/p.
[ "0", "0", "1", "1", "1", "1", "1", "1", "0", "1", "1", "0", "1", "1", "0", "0", "1", "1", "1", "0", "0", "1", "1", "1", "0", "1", "1", "0", "1", "1", "1", "1", "0", "0", "0", "1", "1", "1", "0", "1", "1", "1", "1", "0", "1", "0", "1", "1", "0", "1", "0", "0", "1", "1", "0", "1", "0", "0", "1", "1", "1", "0", "1", "1", "0", "1", "1", "0", "0", "1", "1", "1", "1", "1", "1", "0", "0", "1", "1", "1", "0", "1", "1", "1", "0", "1", "0", "1", "1", "1", "0", "0", "0", "0", "0", "1", "1", "1", "1", "1", "1", "0", "1", "1", "1", "1", "1", "0", "1", "1", "0", "1", "1", "1", "0", "0", "1", "1", "0", "1", "0" ]
[ "nonn" ]
6
1
null
[ "A003415", "A276085", "A359550", "A368915", "A373842", "A377868", "A377988", "A377989" ]
null
Antti Karttunen, Nov 18 2024
2024-11-18T11:54:38
oeisdata/seq/A377/A377988.seq
4845c5d0fafdcae32e38f1f5dcf0b99f
A377989
Numbers k such that A003415(A276085(k)) has no p^p-factors, where A003415 is the arithmetic derivative, and A276085 is fully additive with a(p) = p#/p.
[ "3", "4", "5", "6", "7", "8", "10", "11", "13", "14", "17", "18", "19", "22", "23", "24", "26", "27", "29", "30", "31", "32", "36", "37", "38", "40", "41", "42", "43", "45", "47", "48", "50", "53", "54", "56", "59", "60", "61", "63", "64", "66", "67", "70", "71", "72", "73", "74", "75", "78", "79", "80", "82", "83", "84", "86", "88", "89", "90", "96", "97", "98", "99", "100", "101", "103", "104", "105", "106", "107", "109", "110", "112", "113", "114", "117", "118", "120" ]
[ "nonn" ]
14
1
1
[ "A003415", "A024451", "A048103", "A065091", "A276085", "A359550", "A368915", "A373842", "A377869", "A377988", "A377989" ]
null
Antti Karttunen, Nov 18 2024
2025-03-31T01:46:24
oeisdata/seq/A377/A377989.seq
b2478d0d1859e5fa38ccb82e4cecc67d
A377990
a(n) = sigma(sigma(A350388(n))) * sigma(sigma(A350389(n))), where A350388 and A350389 are the largest unitary divisor of n that is a square, and the largest unitary divisor of n that is an exponentially odd number, respectively.
[ "1", "4", "7", "8", "12", "28", "15", "24", "14", "39", "28", "56", "24", "60", "60", "32", "39", "56", "42", "96", "63", "91", "60", "168", "32", "96", "90", "120", "72", "195", "63", "104", "124", "120", "124", "112", "60", "168", "120", "234", "96", "252", "84", "224", "168", "195", "124", "224", "80", "128", "195", "192", "120", "360", "195", "360", "186", "234", "168", "480", "96", "252", "210", "128", "224", "403", "126", "312", "252", "403", "195" ]
[ "nonn" ]
10
1
2
[ "A000203", "A051027", "A350388", "A350389", "A351568", "A351569", "A377990", "A377991" ]
null
Antti Karttunen, Nov 15 2024
2024-11-15T15:12:11
oeisdata/seq/A377/A377990.seq
d3fa7950114d0fe9e31b288fa520c6af
A377991
Numbers k such that A351568(k) and A351569(k) are not coprime, where A351568 and A351569 are the sum of divisors of the largest unitary divisor of n that is a square, and of the largest unitary divisor of n that is an exponentially odd number, respectively.
[ "52", "98", "156", "164", "245", "260", "294", "332", "338", "364", "388", "392", "468", "490", "492", "539", "556", "572", "668", "722", "724", "735", "780", "820", "833", "845", "882", "884", "892", "927", "972", "976", "980", "988", "996", "1004", "1014", "1078", "1092", "1125", "1127", "1148", "1164", "1172", "1176", "1196", "1228", "1274", "1300", "1352", "1396", "1404", "1421", "1470", "1476", "1508", "1525", "1568", "1573" ]
[ "nonn" ]
8
1
1
[ "A051027", "A336548", "A350388", "A350389", "A351568", "A351569", "A377990", "A377991" ]
null
Antti Karttunen, Nov 15 2024
2024-11-15T15:12:16
oeisdata/seq/A377/A377991.seq
0e638052686c43e54d112afe89b09ec6
A377992
Irregular triangle giving on row n all antiderivatives of A024451(n), for n >= 2.
[ "6", "30", "58", "210", "435", "507", "2310", "8435", "21827", "29233", "30030", "39030", "62762", "69914", "76442", "78874", "510510", "1342785", "1958673", "9699690", "28235362", "223092870", "975351895", "1527890095", "1885679383", "2189118743", "2329696457", "2338611863", "3485765789", "4586671213", "5453593183", "5472849253", "5674340053", "8071055747", "8931775397", "9332889127" ]
[ "nonn", "tabf" ]
24
2
1
[ "A002110", "A003415", "A004709", "A005117", "A024451", "A048103", "A327978", "A366890", "A369240", "A377987", "A377992", "A377993", "A378209" ]
null
Antti Karttunen, Nov 19 2024
2024-11-22T20:32:14
oeisdata/seq/A377/A377992.seq
bcd31bb71e538e301021777a4ca8d3b8
A377993
Number of integers whose arithmetic derivative (A003415) is equal to A024451(n), the arithmetic derivative of the n-th primorial.
[ "1", "2", "3", "4", "6", "3", "2", "330", "3", "3" ]
[ "nonn" ]
9
2
2
[ "A002620", "A003415", "A024451", "A099302", "A377992", "A377993" ]
null
Antti Karttunen, Nov 20 2024
2024-11-22T20:32:18
oeisdata/seq/A377/A377993.seq
d23d90b007e13e43d88c2dbf02a68264
A377994
Numbers k such that k + PrimePi(k) is odd.
[ "1", "2", "3", "6", "7", "9", "12", "13", "15", "18", "19", "21", "24", "26", "28", "29", "32", "34", "36", "37", "39", "42", "43", "45", "48", "50", "52", "53", "55", "57", "60", "61", "63", "65", "68", "70", "71", "74", "76", "78", "79", "81", "84", "86", "88", "89", "91", "93", "95", "98", "100", "101", "104", "106", "107", "110", "112", "113", "115", "117", "119", "121", "123", "125" ]
[ "nonn", "easy" ]
10
1
2
[ "A000720", "A377897", "A377994" ]
null
Paolo Xausa, Nov 13 2024
2024-11-13T18:29:22
oeisdata/seq/A377/A377994.seq
3d535d97d91dca647f8a6b16658feeab
A377995
Decimal expansion of the dihedral angle, in radians, between square and pentagonal faces in a (small) rhombicosidodecahedron.
[ "2", "5", "8", "8", "0", "1", "8", "2", "9", "4", "6", "9", "2", "7", "4", "7", "9", "8", "6", "9", "5", "4", "1", "1", "0", "6", "5", "3", "1", "9", "0", "2", "3", "4", "3", "6", "4", "1", "6", "2", "1", "4", "5", "5", "7", "6", "6", "7", "4", "3", "8", "9", "4", "9", "7", "6", "3", "6", "6", "7", "4", "9", "8", "8", "5", "9", "0", "9", "6", "1", "2", "3", "6", "7", "9", "7", "5", "2", "7", "6", "0", "1", "6", "2", "1", "3", "2", "6", "2", "6" ]
[ "nonn", "cons", "easy" ]
9
1
1
[ "A242671", "A377995", "A377996" ]
null
Paolo Xausa, Nov 15 2024
2024-11-16T07:25:47
oeisdata/seq/A377/A377995.seq
bfb782680b2a11921d86e304796dbe05
A377996
Decimal expansion of the dihedral angle, in radians, between triangular and square faces in a (small) rhombicosidodecahedron.
[ "2", "7", "7", "6", "7", "2", "8", "8", "2", "5", "4", "7", "6", "3", "1", "0", "0", "5", "6", "7", "3", "5", "2", "4", "5", "0", "5", "3", "3", "7", "2", "8", "4", "2", "5", "3", "6", "4", "9", "8", "9", "1", "6", "4", "4", "2", "3", "5", "1", "2", "4", "8", "9", "7", "5", "6", "2", "0", "4", "6", "9", "8", "4", "6", "5", "7", "6", "9", "0", "6", "9", "5", "6", "4", "5", "2", "8", "2", "5", "4", "2", "9", "2", "3", "0", "2", "9", "3", "1", "2" ]
[ "nonn", "cons", "easy" ]
6
1
1
[ "A002194", "A010472", "A377995", "A377996" ]
null
Paolo Xausa, Nov 15 2024
2024-11-16T07:25:46
oeisdata/seq/A377/A377996.seq
6e390f5b655ac3756b3d8c2d2984fa7e
A377997
Decimal expansion of the dihedral angle, in radians, between triangular faces in a snub dodecahedron.
[ "2", "8", "6", "5", "4", "0", "0", "6", "8", "8", "3", "4", "4", "7", "2", "8", "6", "0", "7", "6", "0", "4", "6", "0", "7", "3", "4", "1", "7", "3", "3", "6", "5", "6", "9", "1", "4", "1", "1", "9", "0", "0", "9", "6", "7", "2", "6", "6", "5", "2", "3", "7", "9", "6", "9", "0", "5", "9", "9", "2", "8", "5", "2", "5", "2", "2", "0", "3", "5", "8", "6", "9", "8", "3", "4", "3", "4", "2", "9", "0", "1", "8", "5", "7", "2", "8", "8", "7", "8", "0" ]
[ "nonn", "cons", "easy" ]
6
1
1
[ "A377804", "A377805", "A377806", "A377807", "A377849", "A377997", "A377998" ]
null
Paolo Xausa, Nov 15 2024
2024-11-16T07:25:44
oeisdata/seq/A377/A377997.seq
859d434914b70bc927c28d9d05cebebc
A377998
Decimal expansion of the dihedral angle, in radians, between triangular and pentagonal faces in a snub dodecahedron.
[ "2", "6", "6", "9", "1", "3", "0", "6", "3", "3", "6", "2", "5", "7", "5", "6", "1", "0", "7", "7", "0", "7", "9", "4", "0", "9", "3", "5", "7", "1", "8", "2", "0", "8", "2", "3", "0", "5", "1", "8", "7", "0", "3", "7", "4", "5", "3", "5", "5", "3", "8", "0", "2", "7", "4", "2", "2", "3", "5", "0", "2", "7", "2", "6", "0", "4", "0", "0", "7", "4", "7", "2", "9", "1", "9", "0", "6", "4", "8", "3", "7", "6", "8", "8", "9", "1", "6", "5", "0", "7" ]
[ "nonn", "cons", "easy" ]
8
1
1
[ "A001622", "A377804", "A377805", "A377806", "A377807", "A377849", "A377997", "A377998" ]
null
Paolo Xausa, Nov 15 2024
2024-11-16T07:25:43
oeisdata/seq/A377/A377998.seq
e485ea127fec735f53b2a29ccc333f81
A377999
Decimal expansion of L^4/(80*Pi^4) - 1/240, where L is the lemniscate constant (A062539).
[ "1", "8", "9", "9", "0", "1", "2", "0", "5", "1", "1", "1", "9", "6", "2", "2", "1", "7", "6", "9", "2", "6", "7", "5", "8", "3", "4", "8", "3", "2", "8", "6", "2", "2", "0", "3", "0", "9", "6", "8", "3", "1", "0", "7", "7", "3", "0", "3", "4", "1", "8", "1", "2", "3", "2", "1", "6", "1", "8", "7", "0", "4", "0", "9", "5", "8", "3", "5", "4", "9", "0", "7", "7", "9", "5", "2", "3", "4", "7", "5", "4", "2", "1", "1", "0", "3", "8", "2", "5", "5" ]
[ "nonn", "cons", "easy" ]
7
-2
2
[ "A001158", "A002388", "A062539", "A068465", "A377999" ]
null
Paolo Xausa, Nov 15 2024
2024-11-16T07:25:40
oeisdata/seq/A377/A377999.seq
47b006f9d83887ec32f1b82f8f36ad11
A378000
Array read by ascending antidiagonals: T(n,k) is the k-th positive integer that is digitally balanced in base n.
[ "2", "11", "9", "75", "15", "10", "694", "78", "19", "12", "8345", "698", "99", "21", "35", "123717", "8350", "714", "108", "260", "37", "2177399", "123723", "8375", "722", "114", "266", "38", "44317196", "2177406", "123759", "8385", "738", "120", "268", "41", "1023456789", "44317204", "2177455", "123771", "8410", "742", "135", "278", "42" ]
[ "nonn", "base", "tabl" ]
20
2
1
[ "A031443", "A049354", "A049355", "A049356", "A049357", "A049358", "A049359", "A049360", "A049363", "A049364", "A065963", "A378000", "A378001", "A378073", "A378080", "A378104" ]
null
Paolo Xausa, Nov 14 2024
2024-11-17T07:23:53
oeisdata/seq/A378/A378000.seq
664eb23bafaabb73250a8ff61c6e71ed
A378001
a(n) is the (n-1)-th positive integer that is digitally balanced in base n.
[ "2", "15", "99", "722", "8410", "123813", "2177847", "44317852", "1023457869", "26432595075", "754777789018", "23609224082310", "802772380561983", "29480883458980947", "1162849439785414095", "49030176097150565512", "2200618769387073010719", "104753196945250864019109", "5271200265927977839358758" ]
[ "nonn", "base" ]
8
2
1
[ "A378000", "A378001" ]
null
Paolo Xausa, Nov 14 2024
2024-11-17T07:24:05
oeisdata/seq/A378/A378001.seq
71d9ba791829d72077422406dffb44da
A378002
Achilles numbers that are products of primorials.
[ "72", "288", "432", "864", "1152", "1800", "2592", "3456", "4608", "5400", "6912", "7200", "10368", "10800", "15552", "18432", "21600", "27648", "28800", "31104", "41472", "43200", "54000", "55296", "62208", "64800", "73728", "86400", "88200", "93312", "108000", "115200", "124416", "162000", "165888", "172800", "194400", "221184", "259200" ]
[ "nonn", "easy" ]
26
1
1
[ "A001597", "A001694", "A002110", "A007947", "A025487", "A052486", "A286708", "A364930", "A377854", "A378002" ]
null
Michael De Vlieger, Nov 16 2024
2024-11-17T07:10:10
oeisdata/seq/A378/A378002.seq
7ee8fab64c3c21b8e686a6265c43fd95
A378003
Decimal expansion of Pi*G - 7*zeta(3)/4, where G = A006752.
[ "7", "7", "3", "9", "9", "1", "2", "0", "1", "0", "7", "8", "8", "7", "1", "1", "5", "2", "3", "2", "8", "0", "3", "8", "3", "8", "3", "8", "7", "6", "5", "1", "0", "3", "1", "6", "2", "7", "6", "1", "2", "8", "3", "8", "8", "4", "5", "6", "8", "0", "6", "0", "3", "2", "6", "2", "5", "7", "2", "0", "5", "8", "0", "3", "0", "6", "6", "4", "4", "5", "7", "9", "2", "6", "5", "7", "4", "3", "0", "3", "4", "6", "7", "7", "5", "5", "8", "5", "3", "6", "4", "1", "4", "6", "9", "0", "6", "2", "9", "2" ]
[ "nonn", "cons" ]
16
0
1
[ "A000796", "A002117", "A006752", "A378003", "A378021" ]
null
Stefano Spezia, Nov 14 2024
2025-02-12T21:42:02
oeisdata/seq/A378/A378003.seq
dbc39c4be8c0dc49cf64e7909f2494d3