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1999-12-11 03:00:00
2025-04-28 00:58:08
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A361301
For the odd number 2n + 1, the least primitive practical number r such that 2n + 1 = r + p where p is prime.
[ "1", "2", "2", "2", "6", "2", "2", "6", "2", "2", "6", "2", "20", "6", "2", "2", "6", "6", "2", "28", "2", "2", "6", "2", "20", "6", "2", "20", "6", "2", "2", "6", "6", "2", "28", "2", "2", "6", "6", "2", "30", "2", "20", "6", "2", "20", "6", "30", "2", "28", "2", "2", "6", "2", "2", "6", "2", "20", "6", "20", "20", "28", "20", "2", "28", "2", "28", "6", "2", "2", "6", "6", "20", "42", "2", "2", "6", "6", "2", "30", "6", "2", "28", "2", "20", "6", "2", "20", "6", "2", "2", "6", "6", "88", "28" ]
[ "nonn" ]
34
1
2
[ "A005153", "A267124", "A361301" ]
null
Frank M Jackson, Mar 08 2023
2023-06-21T12:48:09
oeisdata/seq/A361/A361301.seq
e8304505e878ea58cec815b6ab2f5df2
A361302
G.f. A(x) satisfies A(x) = Series_Reversion(x - x^3*A'(x)^3).
[ "1", "1", "12", "291", "10243", "460632", "24830853", "1546531419", "108716955930", "8489321379453", "727903248520260", "67935651633100242", "6853940772480079902", "743261410711529857459", "86224073603509482578211", "10656471864208782754351131", "1398062659621217619155428209" ]
[ "nonn" ]
10
1
3
[ "A229619", "A360976", "A360977", "A360978", "A361302", "A361307", "A361308", "A361309", "A361310", "A361311", "A361536" ]
null
Paul D. Hanna, Mar 17 2023
2023-03-18T03:39:26
oeisdata/seq/A361/A361302.seq
e8e2fb723325a71f2255dce44dbfc030
A361303
Expansion of g.f. A(x) = Sum_{n>=0} d^n/dx^n x^(2*n) * (1 + x)^(3*n) / n!.
[ "1", "2", "15", "92", "615", "4200", "29190", "205416", "1458909", "10436030", "75079719", "542669244", "3937604853", "28664996080", "209261546580", "1531373181120", "11230365782130", "82512324300222", "607246350958449", "4475646134515360", "33031356134381220", "244073892799489500", "1805479496422561740" ]
[ "nonn" ]
7
0
2
[ "A215128", "A361046", "A361303", "A361305" ]
null
Paul D. Hanna, Mar 08 2023
2023-03-09T09:00:50
oeisdata/seq/A361/A361303.seq
da49f42138dca74a8a96e30251604a31
A361304
Expansion of g.f. A(x) = Sum_{n>=0} d^n/dx^n x^(2*n) * (1 + x)^(4*n) / n!.
[ "1", "2", "18", "124", "930", "7146", "55804", "441312", "3521898", "28307510", "228820086", "1858240956", "15149110912", "123905220292", "1016261712240", "8355494725376", "68842600563918", "568266625104498", "4698576694639306", "38906632384471820", "322596353513983626", "2678048134387075560" ]
[ "nonn" ]
7
0
2
[ "A214372", "A361304", "A361306" ]
null
Paul D. Hanna, Mar 08 2023
2023-03-09T09:00:46
oeisdata/seq/A361/A361304.seq
e995e96672f83a947128356379aa84f4
A361305
Expansion of A(x) satisfying A(x) = x + A(x)^2*(1 + A(x))^3.
[ "1", "1", "5", "23", "123", "700", "4170", "25677", "162101", "1043603", "6825429", "45222437", "302892681", "2047499720", "13950769772", "95710823820", "660609751890", "4584018016679", "31960334260971", "223782306725768", "1572921720684820", "11094267854522250", "78499108540111380", "557041048588402170" ]
[ "nonn" ]
14
1
3
[ "A214372", "A361304", "A361305", "A361306" ]
null
Paul D. Hanna, Mar 08 2023
2023-08-24T07:50:10
oeisdata/seq/A361/A361305.seq
adf28f95c757b304df7c62482376dcac
A361306
Expansion of A(x) satisfying A(x) = x + A(x)^2*(1 + A(x))^4.
[ "1", "1", "6", "31", "186", "1191", "7972", "55164", "391322", "2830751", "20801826", "154853413", "1165316224", "8850372878", "67750780816", "522218420336", "4049564739054", "31570368061361", "247293510244174", "1945331619223591", "15361731119713506", "121729460653957980", "967664450692965300" ]
[ "nonn" ]
17
1
3
[ "A006013", "A214372", "A361304", "A361305", "A361306" ]
null
Paul D. Hanna, Mar 08 2023
2023-08-24T07:50:14
oeisdata/seq/A361/A361306.seq
a8ec7c1fdc7adf6592872564daf4ecff
A361307
G.f. A(x) satisfies A(x) = Series_Reversion(x - x^3*A'(x)^4).
[ "1", "1", "15", "462", "20719", "1187628", "81575478", "6470236914", "578865763791", "57491440616067", "6266161502595672", "743009082083639748", "95191896469891628934", "13103364445591714775407", "1928820020328686200102278", "302383969785427961077318020", "50307405653295945234562827135" ]
[ "nonn" ]
9
1
3
[ "A229619", "A360976", "A360977", "A360978", "A361302", "A361307", "A361308", "A361309", "A361310", "A361311", "A361537" ]
null
Paul D. Hanna, Mar 17 2023
2023-03-18T03:39:59
oeisdata/seq/A361/A361307.seq
684303f54943fb8657f98fc3616ffba8
A361308
G.f. A(x) satisfies A(x) = Series_Reversion(x - x^4*A'(x)).
[ "1", "1", "8", "122", "2676", "75197", "2548336", "100461956", "4500071172", "225305924896", "12456434569184", "753380353835754", "49473301917640864", "3505613955205438686", "266627715169575108168", "21667902182055638829520", "1873978995774161192935320", "171874439346918445003163152" ]
[ "nonn" ]
12
1
3
[ "A229619", "A360976", "A360977", "A360978", "A361302", "A361307", "A361308", "A361309", "A361310", "A361311", "A361541" ]
null
Paul D. Hanna, Mar 17 2023
2025-03-25T08:56:10
oeisdata/seq/A361/A361308.seq
4c52e69f1da1f27f88c688a2e3a46389
A361309
G.f. A(x) satisfies A(x) = Series_Reversion(x - x^4*A'(x)^2).
[ "1", "1", "12", "294", "10556", "488105", "27237748", "1766404068", "129955274460", "10668008963012", "965419570076880", "95430263520948342", "10228351567332536636", "1181548204752647642190", "146354418172125510269224", "19353257235976807395819160", "2721549078621826864159594548" ]
[ "nonn" ]
15
1
3
[ "A229619", "A360976", "A360977", "A360978", "A361302", "A361307", "A361308", "A361309", "A361310", "A361311", "A361542" ]
null
Paul D. Hanna, Mar 17 2023
2025-03-25T08:56:06
oeisdata/seq/A361/A361309.seq
bb3a1553a8284a53068f40dc5090cabf
A361310
G.f. A(x) satisfies A(x) = Series_Reversion(x - x^4*A'(x)^3).
[ "1", "1", "16", "538", "26676", "1705373", "131524408", "11778395196", "1195433981028", "135247561603456", "16853285080609312", "2292048750536003426", "337754031605269049112", "53608164572529006153454", "9118712400086550140230888", "1655104918901340697851158384", "319341008921919836189242604080" ]
[ "nonn" ]
13
1
3
[ "A229619", "A360976", "A360977", "A360978", "A361302", "A361307", "A361308", "A361309", "A361310", "A361311", "A361543" ]
null
Paul D. Hanna, Mar 17 2023
2025-03-25T08:56:02
oeisdata/seq/A361/A361310.seq
21b22284d2bddf142251325ff0908664
A361311
G.f. A(x) satisfies A(x) = Series_Reversion(x - x^5*A'(x)).
[ "1", "1", "10", "195", "5520", "201255", "8881551", "457227585", "26805712005", "1759840463070", "127784731466660", "10164274303786460", "878859905526721250", "82080454974318915935", "8235485665033295289810", "883569144560890419421630", "100952601749463417250801935", "12239031817482031919864850550" ]
[ "nonn" ]
11
1
3
[ "A229619", "A360976", "A360977", "A360978", "A361302", "A361307", "A361308", "A361309", "A361310", "A361311", "A361551" ]
null
Paul D. Hanna, Mar 17 2023
2025-03-25T08:55:57
oeisdata/seq/A361/A361311.seq
4fb2dfa5922417e17cf6d6633450967c
A361312
Smallest prime p such that the decimal expansion of p remains prime through exactly n iterations of base-10 to base-2 conversion (A007088).
[ "2", "3", "5", "3893257", "9632552297" ]
[ "nonn", "base", "more" ]
25
0
1
[ "A007088", "A036952", "A065720", "A123266", "A256621", "A256622", "A361312" ]
null
Ya-Ping Lu, Mar 08 2023
2023-03-24T17:49:32
oeisdata/seq/A361/A361312.seq
c5c66c497bfdcf929cb99c9e4412eabc
A361313
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-5)*a(5) for n >= 6, with a(1)=0 and a(2)=a(3)=a(4)=a(5)=1.
[ "0", "1", "1", "1", "1", "0", "1", "1", "2", "3", "4", "8", "11", "20", "31", "52", "88", "143", "247", "408", "700", "1184", "2017", "3462", "5909", "10196", "17518", "30281", "52365", "90704", "157556", "273742", "476893", "831298", "1451603", "2537736", "4441262", "7782934", "13650555", "23969794", "42126241", "74105773", "130476070" ]
[ "nonn", "eigen" ]
22
1
9
[ "A025250", "A361313" ]
null
J. Conrad, Mar 08 2023
2023-03-16T14:09:46
oeisdata/seq/A361/A361313.seq
dc014d22ce509061b14928979c922ad9
A361314
a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number which has not appeared that shares a factor with a(n-2) + a(n-1) while the sum a(n) + a(n-1) is distinct from all previous sums a(i) + a(i-1), i=2..n-1.
[ "1", "2", "3", "5", "4", "6", "8", "7", "9", "10", "19", "29", "12", "41", "53", "14", "67", "15", "16", "31", "47", "13", "20", "18", "22", "24", "26", "25", "17", "27", "28", "11", "21", "36", "30", "32", "38", "34", "39", "73", "35", "33", "42", "45", "48", "51", "44", "40", "46", "43", "89", "50", "139", "49", "52", "101", "54", "55", "109", "56", "57", "113", "58", "60", "59", "63", "61", "62", "66", "64", "65", "69", "68", "137", "70" ]
[ "nonn" ]
17
1
2
[ "A337136", "A352763", "A353989", "A354087", "A354687", "A354727", "A354753", "A354755", "A359799", "A361314" ]
null
Scott R. Shannon, Mar 08 2023
2023-03-09T06:17:39
oeisdata/seq/A361/A361314.seq
9acc8aa5e5713ea6b36c1a3141cc05f6
A361315
a(n) is the minimum number of pebbles such that any assignment of those pebbles on a complete graph with n vertices is a next-player winning game in the two-player impartial (3;1,1) pebbling game.
[ "31", "26", "19", "17", "17", "19", "21", "23", "25", "27", "29", "31", "33", "35", "37", "39", "41" ]
[ "nonn", "more" ]
50
4
1
[ "A340631", "A346197", "A346401", "A347637", "A361315" ]
null
Gabrielle Demchak, Eugene Fiorini, Michael J. Herrera, Samuel Murray, Rhaldni Sayaman, Brittany Shelton and Wing Hong Tony Wong, Mar 14 2023
2023-12-16T13:10:32
oeisdata/seq/A361/A361315.seq
e6f71489db063476c45cb738f0143e8c
A361316
Numerators of the harmonic means of the infinitary divisors of the positive integers.
[ "1", "4", "3", "8", "5", "2", "7", "32", "9", "20", "11", "12", "13", "7", "5", "32", "17", "12", "19", "8", "21", "22", "23", "16", "25", "52", "27", "14", "29", "10", "31", "128", "11", "68", "35", "72", "37", "38", "39", "32", "41", "7", "43", "44", "3", "23", "47", "48", "49", "100", "17", "104", "53", "18", "55", "56", "57", "116", "59", "4", "61", "31", "63", "256", "65", "11", "67", "136" ]
[ "nonn", "frac" ]
10
1
2
[ "A036537", "A037445", "A049417", "A063947", "A077609", "A099377", "A103339", "A138302", "A361316", "A361317" ]
null
Amiram Eldar, Mar 09 2023
2023-03-10T10:37:50
oeisdata/seq/A361/A361316.seq
4805d35b92589786bcddc92b84263ca7
A361317
Denominators of the harmonic means of the infinitary divisors of the positive integers.
[ "1", "3", "2", "5", "3", "1", "4", "15", "5", "9", "6", "5", "7", "3", "2", "17", "9", "5", "10", "3", "8", "9", "12", "5", "13", "21", "10", "5", "15", "3", "16", "51", "4", "27", "12", "25", "19", "15", "14", "9", "21", "2", "22", "15", "1", "9", "24", "17", "25", "39", "6", "35", "27", "5", "18", "15", "20", "45", "30", "1", "31", "12", "20", "85", "21", "3", "34", "45", "8", "9", "36", "25", "37", "57" ]
[ "nonn", "frac" ]
9
1
2
[ "A037445", "A049417", "A063947", "A077609", "A099378", "A103340", "A361316", "A361317" ]
null
Amiram Eldar, Mar 09 2023
2023-03-10T10:37:35
oeisdata/seq/A361/A361317.seq
9440c59376139dc0638ac85e87e37e08
A361318
Harmonic means of the infinitary divisors of the infinitary harmonic numbers.
[ "1", "2", "3", "4", "4", "6", "7", "7", "11", "13", "13", "10", "7", "15", "16", "15", "9", "20", "18", "14", "25", "24", "19", "25", "15", "27", "28", "30", "18", "36", "13", "21", "17", "29", "40", "33", "24", "28", "38", "31", "29", "45", "34", "27", "28", "44", "27", "60", "36", "52", "46", "26", "51", "42", "55", "33", "66", "40", "24", "37", "49", "29", "47", "57", "34", "68", "49", "44" ]
[ "nonn" ]
10
1
2
[ "A001600", "A006087", "A063947", "A361316", "A361317", "A361318" ]
null
Amiram Eldar, Mar 09 2023
2023-03-10T10:39:18
oeisdata/seq/A361/A361318.seq
69b85b22fbf8befe7375e599edb9b4e4
A361319
Indices of records in the sequence of infinitary harmonic means A361316(k)/A361317(k).
[ "1", "2", "3", "4", "5", "6", "8", "10", "12", "15", "20", "24", "30", "40", "54", "56", "60", "84", "105", "120", "168", "210", "264", "270", "280", "360", "420", "540", "660", "756", "840", "1080", "1320", "1512", "1848", "1890", "2310", "2520", "3080", "3640", "3780", "4620", "5460", "5940", "7020", "7560", "9240", "10920", "11880", "14040", "16632", "19656" ]
[ "nonn" ]
9
1
2
[ "A037992", "A179971", "A327634", "A348654", "A361316", "A361317", "A361319" ]
null
Amiram Eldar, Mar 09 2023
2023-03-10T10:53:44
oeisdata/seq/A361/A361319.seq
3b8c4314066c867375a5263ba7ab2eb7
A361320
If n is composite, replace n with the concatenation of its nontrivial divisors, written in increasing order, each divisor being written in base 10 with its digits in reverse order, otherwise a(n) = n.
[ "1", "2", "3", "2", "5", "23", "7", "24", "3", "25", "11", "2346", "13", "27", "35", "248", "17", "2369", "19", "24501", "37", "211", "23", "2346821", "5", "231", "39", "24741", "29", "23560151", "31", "24861", "311", "271", "57", "234692181", "37", "291", "331", "24580102", "41", "23674112", "43", "241122", "35951", "232", "47", "23468216142", "7", "250152" ]
[ "nonn", "base" ]
9
1
2
[ "A037279", "A130140", "A361320" ]
null
Tyler Busby, Mar 09 2023
2023-03-10T19:38:33
oeisdata/seq/A361/A361320.seq
06157d71b0f2ceece8c92d9a7dc948a5
A361321
Lexicographically earliest infinite sequence of distinct elements of A000469 such that, for n > 2, a(n) has a common factor with a(n-1) but not with a(n-2).
[ "1", "6", "10", "35", "21", "33", "22", "14", "91", "39", "15", "55", "77", "42", "26", "65", "85", "34", "38", "57", "51", "119", "70", "30", "69", "161", "133", "95", "110", "46", "299", "143", "66", "58", "145", "105", "78", "62", "155", "115", "138", "74", "185", "165", "87", "203", "154", "82", "123", "93", "217", "182", "86", "129", "111", "259", "238", "94", "141", "159" ]
[ "nonn" ]
11
1
2
[ "A000469", "A336957", "A360519", "A361321" ]
null
Scott R. Shannon, Rémy Sigrist and N. J. A. Sloane, Mar 09 2023
2023-03-11T00:14:24
oeisdata/seq/A361/A361321.seq
19e75da43f8bd0705b855eda4b11ebdb
A361322
The binary expansion of a(n) specifies which primes divide A361321(n).
[ "0", "3", "5", "12", "10", "18", "17", "9", "40", "34", "6", "20", "24", "11", "33", "36", "68", "65", "129", "130", "66", "72", "13", "7", "258", "264", "136", "132", "21", "257", "288", "48", "19", "513", "516", "14", "35", "1025", "1028", "260", "259", "2049", "2052", "22", "514", "520", "25", "4097", "4098", "1026", "1032", "41", "8193", "8194", "2050", "2056", "73" ]
[ "nonn", "base" ]
7
1
2
[ "A057716", "A087207", "A361321", "A361322" ]
null
Scott R. Shannon, Rémy Sigrist and N. J. A. Sloane, Mar 09 2023
2024-08-27T18:54:53
oeisdata/seq/A361/A361322.seq
7cc0ca0a08ca9ee112f74e76e601b8b7
A361323
a(n) = k such that A000469(k) = A361321(n).
[ "1", "2", "3", "12", "6", "10", "7", "4", "33", "14", "5", "18", "27", "15", "8", "22", "30", "11", "13", "19", "17", "45", "25", "9", "24", "62", "50", "36", "40", "16", "121", "55", "23", "20", "56", "38", "28", "21", "59", "43", "52", "26", "71", "63", "32", "79", "58", "29", "47", "34", "87", "69", "31", "48", "41", "105", "97", "35", "53", "61", "39", "44", "67", "70", "46", "49", "76", "77", "51", "54", "84", "89", "57", "60", "96" ]
[ "nonn" ]
9
1
2
[ "A000469", "A336957", "A360519", "A361102", "A361321", "A361323", "A361324" ]
null
Scott R. Shannon, Rémy Sigrist, and N. J. A. Sloane, Mar 11 2023
2023-03-11T23:06:10
oeisdata/seq/A361/A361323.seq
d213add90626a9e1b9d32a369d650bd4
A361324
a(n) = k such that A361321(k) = A000469(n), or -1 if A000469(n) never appears in A361321.
[ "1", "2", "3", "8", "11", "5", "7", "15", "24", "6", "18", "4", "19", "10", "14", "30", "21", "12", "20", "34", "38", "16", "33", "25", "23", "42", "13", "37", "48", "17", "53", "45", "9", "50", "58", "28", "83", "36", "61", "29", "55", "79", "40", "62", "22", "65", "49", "54", "66", "27", "69", "41", "59", "70", "32", "35", "73", "47", "39", "74", "60", "26", "44", "87", "78", "93", "63", "98", "52", "64", "43", "101", "77", "86", "102" ]
[ "nonn" ]
8
1
2
[ "A000469", "A336957", "A360519", "A361102", "A361321", "A361323", "A361324" ]
null
Scott R. Shannon, Rémy Sigrist, and N. J. A. Sloane, Mar 11 2023
2023-03-11T23:06:15
oeisdata/seq/A361/A361324.seq
152d081141beba79aa9d927a6f427b3a
A361325
Records in A361321
[ "1", "6", "10", "35", "91", "119", "161", "299", "445", "623", "1067", "1351", "1379", "1561", "1589", "1603", "1631", "2051", "2681", "3199", "3829", "4207", "4963", "5089", "6139", "7427", "7441", "8953", "15037", "21769", "26389", "35519", "42647", "49423", "53471", "70279", "77297", "95843", "102839", "111661", "116677", "146707", "158059", "172051", "181247", "206503", "227491" ]
[ "nonn" ]
4
1
2
[ "A000469", "A360519", "A361107", "A361321", "A361325", "A361326" ]
null
Scott R. Shannon, Rémy Sigrist and N. J. A. Sloane, Mar 11 2023
2023-03-12T07:33:18
oeisdata/seq/A361/A361325.seq
06c77b29e926ef087940bfae77e6eed1
A361326
Indices of records in A361321.
[ "1", "2", "3", "4", "9", "22", "26", "31", "95", "99", "132", "216", "222", "287", "293", "298", "303", "321", "406", "490", "581", "643", "764", "791", "932", "1131", "1138", "1346", "1439", "2077", "2541", "3434", "4123", "4813", "5216", "6883", "7525", "9404", "10107", "10975", "11457", "14462", "15565", "16977", "17908", "20456", "22557", "22779", "23929", "29033", "35776", "38811", "43493" ]
[ "nonn" ]
7
1
2
[ "A000469", "A360519", "A361107", "A361321", "A361325", "A361326" ]
null
Scott R. Shannon, Rémy Sigrist and N. J. A. Sloane, Mar 11 2023
2023-04-01T11:26:52
oeisdata/seq/A361/A361326.seq
f748e2dde33cac2b29a08d63a952eaa0
A361327
a(n) is the greatest prime factor of A361321(n) with a(1) = 1.
[ "1", "3", "5", "7", "7", "11", "11", "7", "13", "13", "5", "11", "11", "7", "13", "13", "17", "17", "19", "19", "17", "17", "7", "5", "23", "23", "19", "19", "11", "23", "23", "13", "11", "29", "29", "7", "13", "31", "31", "23", "23", "37", "37", "11", "29", "29", "11", "41", "41", "31", "31", "13", "43", "43", "37", "37", "17", "47", "47", "53", "53", "59", "59", "61", "61", "13", "13", "67", "67", "71", "71", "73", "73", "79", "79", "11", "17" ]
[ "nonn" ]
10
1
2
[ "A000469", "A336957", "A360519", "A361120", "A361321", "A361327", "A361328", "A361329" ]
null
Scott R. Shannon, Rémy Sigrist and N. J. A. Sloane, Mar 15 2023
2023-03-16T05:54:23
oeisdata/seq/A361/A361327.seq
31aad8c1ea30e28bae73f6f73b215d1b
A361328
a(n) is the least prime factor of A361321(n) with a(1) = 1.
[ "1", "2", "2", "5", "3", "3", "2", "2", "7", "3", "3", "5", "7", "2", "2", "5", "5", "2", "2", "3", "3", "7", "2", "2", "3", "7", "7", "5", "2", "2", "13", "11", "2", "2", "5", "3", "2", "2", "5", "5", "2", "2", "5", "3", "3", "7", "2", "2", "3", "3", "7", "2", "2", "3", "3", "7", "2", "2", "3", "3", "2", "2", "3", "3", "2", "2", "3", "3", "2", "2", "3", "3", "2", "2", "3", "3", "11", "2", "2", "11", "11", "2", "2", "13", "13", "2", "2", "3", "3", "5", "7", "2", "2", "3", "5", "5" ]
[ "nonn" ]
8
1
2
[ "A000469", "A336957", "A360519", "A361119", "A361321", "A361327", "A361328", "A361329" ]
null
Scott R. Shannon, Rémy Sigrist and N. J. A. Sloane, Mar 15 2023
2023-03-16T05:54:13
oeisdata/seq/A361/A361328.seq
cea06cba5efb034d9174b2bb0d0f52a5
A361329
a(n) = gcd(A361321(n), A361321(n+1)).
[ "1", "2", "5", "7", "3", "11", "2", "7", "13", "3", "5", "11", "7", "2", "13", "5", "17", "2", "19", "3", "17", "7", "10", "3", "23", "7", "19", "5", "2", "23", "13", "11", "2", "29", "5", "3", "2", "31", "5", "23", "2", "37", "5", "3", "29", "7", "2", "41", "3", "31", "7", "2", "43", "3", "37", "7", "2", "47", "3", "53", "2", "59", "3", "61", "2", "65", "3", "67", "2", "71", "3", "73", "2", "79", "3", "11", "17", "2", "19", "11", "23", "2", "17", "13", "19", "2" ]
[ "nonn" ]
9
1
2
[ "A000469", "A336957", "A360519", "A361118", "A361321", "A361327", "A361328", "A361329" ]
null
Scott R. Shannon, Rémy Sigrist and N. J. A. Sloane, Mar 15 2023
2023-03-16T05:54:10
oeisdata/seq/A361/A361329.seq
d5d3c57fce5cb053a2a1cc554d0831bb
A361330
Smallest prime that does not divide A351495(n).
[ "2", "3", "2", "3", "5", "2", "3", "2", "3", "5", "2", "3", "5", "3", "2", "3", "5", "2", "3", "2", "3", "7", "2", "3", "2", "3", "5", "2", "3", "2", "3", "5", "3", "2", "3", "5", "3", "2", "3", "5", "2", "3", "2", "3", "7", "2", "3", "2", "3", "5", "2", "3", "2", "3", "5", "3", "2", "3", "5", "3", "2", "3", "5", "2", "3", "2", "3", "7", "2", "3", "2", "3", "5", "2", "3", "2", "3", "5", "3", "2", "3", "5", "3", "2", "3", "5", "2", "3", "2", "3", "7", "2", "3", "2", "3", "5", "2", "3", "2", "3", "5", "3", "2", "3", "5", "3", "2", "3", "5", "2", "3", "2", "3", "7", "2", "3", "2", "3", "5", "2" ]
[ "nonn" ]
5
1
1
[ "A351495", "A361330" ]
null
Scott R. Shannon and N. J. A. Sloane, Mar 18 2023
2023-03-18T19:16:13
oeisdata/seq/A361/A361330.seq
b5b64b7870db37c08d30cd390f825a21
A361331
Smallest index of n-th prime in A361330, or -1 if it does not appear.
[ "1", "2", "5", "22", "160", "1770", "23022", "391390", "7436428" ]
[ "nonn", "more" ]
26
1
2
[ "A002110", "A351495", "A361330", "A361331" ]
null
Scott R. Shannon and N. J. A. Sloane, Mar 18 2023
2023-03-20T08:30:31
oeisdata/seq/A361/A361331.seq
2ed324d9898b5ac7e841d650e293db95
A361332
Where n appears in A351495, or -1 if it never occurs.
[ "1", "2", "3", "4", "6", "5", "23", "7", "8", "9", "161", "10", "1771", "12", "11", "16", "23023", "13", "391391", "14", "15", "19", "7436429", "17", "18", "21", "20", "24", "171037867", "22", "4960098143", "26", "25", "29", "28", "27" ]
[ "nonn", "more" ]
20
1
2
[ "A351495", "A361332", "A361333" ]
null
Scott R. Shannon and N. J. A. Sloane, Mar 19 2023
2023-05-06T09:02:44
oeisdata/seq/A361/A361332.seq
1ff4eab75bdcd6adac8203cdf0ea1304
A361333
Index of prime(n) in A351495.
[ "2", "3", "6", "23", "161", "1771", "23023", "391391", "7436429", "171037867", "4960098143" ]
[ "nonn", "more" ]
19
1
1
[ "A351495", "A361332", "A361333" ]
null
Scott R. Shannon and N. J. A. Sloane, Mar 19 2023
2023-03-20T08:59:46
oeisdata/seq/A361/A361333.seq
2ba07e42376e098e727659d1b0ff29ad
A361334
Index of 2^n in A351495.
[ "1", "2", "4", "7", "16", "26", "52", "100", "200", "394", "788", "1572", "3144", "6282", "12564", "25124", "50248", "100490", "200980", "401956", "803912", "1607818", "3215636", "6431268", "12862536", "25725066", "51450132", "102900260", "205800520", "411601034", "823202068", "1646404132", "3292808264", "6585616522", "13171233044" ]
[ "nonn" ]
6
0
2
[ "A351495", "A361332", "A361333", "A361334" ]
null
Scott R. Shannon and N. J. A. Sloane, Mar 19 2023
2023-03-20T12:53:05
oeisdata/seq/A361/A361334.seq
957d1d5e0e73b86ead508d8d97533f72
A361335
Smallest decimal number containing n palindromic substrings (Version 1). See Comments for precise definition.
[ "0", "10", "11", "101", "1001", "111", "1110", "10101", "10111", "1111", "11110", "102222", "101111", "1001111", "11111", "111110", "1022222", "1011111", "10011111", "11101111", "111111", "1111110", "10222222", "10111111", "100111111", "111111212", "110111111", "1111111", "11111110", "102222222", "101111111", "1001111111", "1111111212", "1101111111", "10101111111", "11111111", "111111110" ]
[ "nonn", "base" ]
14
1
2
[ "A361335", "A361336" ]
null
N. J. A. Sloane, Apr 01 2023, based on postings to the Sequence Fans Mailing list by Eric Angelini, Mar 28 2023 (definition), and Giovanni Resta, Mar 28 2023 (terms)
2023-04-03T02:31:50
oeisdata/seq/A361/A361335.seq
da22185345d471f295dc4c9f3ce9e0e6
A361336
Smallest decimal number containing n palindromic substrings (Version 2). See Comments for precise definition.
[ "0", "10", "11", "100", "1002", "111", "1000", "10002", "10001", "1111", "10000", "100002", "100001", "1000012", "11111", "100000", "1000002", "1000001", "10000012", "10000010", "111111", "1000000", "10000002", "10000001", "100000012", "100000010", "110111111", "1111111", "10000000", "100000002", "100000001", "1000000012", "1000000010" ]
[ "nonn", "base" ]
16
1
2
[ "A361335", "A361336" ]
null
N. J. A. Sloane, Apr 01 2023, based on postings to the Sequence Fans Mailing list by Eric Angelini, Mar 28 2023 (definition), and Giovanni Resta, Mar 28 2023 (terms)
2023-04-03T02:31:57
oeisdata/seq/A361/A361336.seq
5c11a3278b93361dec1f608068382bc1
A361337
Numbers that reach 0 after a suitable series of split-and-multiply operations (see Comments for precise definition).
[ "0", "10", "20", "25", "30", "40", "45", "50", "52", "54", "55", "56", "58", "59", "60", "65", "69", "70", "78", "80", "85", "87", "90", "95", "96", "100", "101", "102", "103", "104", "105", "106", "107", "108", "109", "110", "115", "120", "125", "128", "129", "130", "134", "135", "136", "138", "140", "144", "145", "150", "152", "153", "154", "155", "156", "157", "158", "159" ]
[ "nonn", "base" ]
36
1
2
[ "A011540", "A031346", "A034048", "A361337", "A361978" ]
null
N. J. A. Sloane, Apr 01 2023, based on a posting to the Sequence Fans mailing list by Eric Angelini, Mar 20 2023
2023-04-16T21:36:44
oeisdata/seq/A361/A361337.seq
6a1218c3e9ea21f9ad6b1114b53de3be
A361338
Number of different single-digit numbers that can be reached from n by any permissible sequence of split-and-multiply operations.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "2", "2", "1", "2", "1", "1", "2", "2", "2", "1", "2", "2", "2", "2", "1", "1", "2", "2", "2", "2", "2", "2", "2", "3" ]
[ "nonn", "base" ]
57
0
113
[ "A361337", "A361338", "A361339", "A361340", "A361349" ]
null
N. J. A. Sloane, Apr 04 2023, following emails from Eric Angelini and Allan C. Wechsler
2023-04-08T13:23:23
oeisdata/seq/A361/A361338.seq
b4c38e1de6c4553bac96d0766e87b13f
A361339
a(n) is the smallest k such that A361338(k) = n.
[ "1", "112", "139", "219", "373", "719", "1133", "1919", "3377", "17117" ]
[ "nonn", "base", "fini", "full" ]
24
1
2
[ "A361337", "A361339", "A361349" ]
null
N. J. A. Sloane, Apr 04 2023, based on an email from Michael S. Branicky
2023-04-05T22:23:01
oeisdata/seq/A361/A361339.seq
59e8da2442b2dec71281b7e8ef587209
A361340
a(n) = smallest number with the property that the split-and-multiply technique (see A361338) in base n can produce all n single-digit numbers.
[ "15", "23", "119", "167", "12049", "424", "735", "907", "17117", "1250", "307747", "2703", "49225", "9422", "57823", "5437", "2076131", "7747", "639987", "44960", "822799", "11537", "23809465", "24967", "1539917", "109346", "4643181", "26357", "5587832443", "37440", "1885949", "285085", "7782015", "265806", "1250473675", "66524", "8340541", "699890", "158607997", "85684" ]
[ "nonn", "base" ]
53
2
1
[ "A361337", "A361340", "A361349" ]
null
N. J. A. Sloane, Apr 04 2023, based on an email from Zachary DeStefano
2023-12-18T08:29:08
oeisdata/seq/A361/A361340.seq
328bcc581cb77bf00b2c770c5a5397fe
A361341
Numbers k such that A361338(k) = 2.
[ "112", "113", "114", "115", "116", "117", "119", "122", "123", "124", "126", "127", "128", "129", "132", "133", "134", "135", "136", "137", "138", "142", "143", "144", "146", "147", "153", "155", "157", "159", "162", "163", "166", "168", "169", "172", "173", "175", "176", "177", "178", "182", "183", "184", "186", "193", "198", "199", "211", "213", "221", "224", "228", "229", "231", "233", "234", "235", "241", "243", "244", "248", "253", "259", "264", "268", "272", "273", "275", "281", "282" ]
[ "nonn", "base" ]
15
1
1
[ "A361338", "A361341", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-09T07:56:54
oeisdata/seq/A361/A361341.seq
f2b49f4fc06feb72101ec6ed2fa383ec
A361342
Numbers k such that A361338(k) = 3.
[ "139", "148", "149", "167", "179", "187", "188", "189", "196", "197", "216", "217", "218", "226", "236", "238", "246", "247", "249", "256", "258", "261", "262", "263", "266", "269", "271", "276", "279", "283", "287", "288", "292", "294", "324", "329", "334", "337", "338", "339", "341", "342", "347", "349", "354", "362", "364", "368", "369", "372", "374", "376", "381", "382", "383", "386", "391", "392", "396", "399", "413", "416", "417", "423", "427", "428", "431", "436", "442", "443", "446" ]
[ "nonn", "base" ]
17
1
1
[ "A361337", "A361342", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-09T07:57:01
oeisdata/seq/A361/A361342.seq
5436667e7cab7298b2f82319d36fea30
A361343
Numbers k such that A361338(k) = 4.
[ "219", "257", "267", "274", "277", "278", "284", "286", "298", "299", "317", "319", "328", "344", "359", "363", "366", "377", "398", "418", "419", "433", "434", "437", "438", "449", "454", "464", "469", "471", "478", "482", "486", "492", "494", "527", "544", "547", "549", "576", "588", "616", "626", "633", "636", "639", "644", "657", "663", "673", "677", "681", "682", "694", "698", "699", "714", "717", "718", "727", "728", "733", "734", "736", "738", "762", "767", "773", "778", "792" ]
[ "nonn", "base" ]
17
1
1
[ "A361337", "A361343", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-09T08:05:59
oeisdata/seq/A361/A361343.seq
f90f058e2c8a9cc1f27da7dc846b64ea
A361344
Numbers k such that A361338(k) = 5.
[ "373", "387", "389", "393", "439", "479", "619", "627", "649", "661", "688", "696", "739", "742", "784", "788", "824", "827", "847", "862", "868", "878", "879", "886", "887", "889", "898", "914", "924", "929", "938", "943", "947", "966", "969", "973", "979", "982", "988", "996", "998", "1038", "1066", "1067", "1123", "1127", "1129", "1131", "1137", "1138", "1139", "1143", "1148", "1149", "1162", "1164", "1166", "1168", "1171", "1172", "1174", "1178", "1181", "1183" ]
[ "nonn", "base" ]
8
1
1
[ "A361337", "A361344", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-08T13:50:28
oeisdata/seq/A361/A361344.seq
6b816fde4065b4d4b4417a9fbb926cfc
A361345
Numbers k such that A361338(k) = 6.
[ "719", "1117", "1119", "1147", "1157", "1159", "1167", "1177", "1187", "1189", "1197", "1253", "1317", "1327", "1359", "1373", "1389", "1391", "1453", "1499", "1579", "1599", "1657", "1713", "1717", "1731", "1737", "1747", "1757", "1767", "1769", "1773", "1797", "1799", "1921", "1927", "1933", "1939", "1961", "1963", "1971", "1981", "1991", "1993", "1997", "1999", "2117", "2119", "2157", "2191", "2199", "2217", "2237", "2331", "2457", "2517", "2519" ]
[ "nonn", "base" ]
11
1
1
[ "A361337", "A361345", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-09T08:06:10
oeisdata/seq/A361/A361345.seq
5ac00e6f95553cece2727f467a20381d
A361346
Numbers k such that A361338(k) = 7.
[ "1133", "1339", "1387", "1519", "1597", "1719", "1917", "1969", "1973", "1979", "2139", "2177", "2357", "2359", "2577", "2599", "2771", "2939", "2959", "3117", "3119", "3137", "3149", "3169", "3189", "3191", "3437", "3571", "3573", "3589", "3591", "3639", "3657", "3731", "3773", "3797", "3859", "3917", "3929", "3979", "3991", "3999", "4179", "4191", "4359" ]
[ "nonn", "base" ]
9
1
1
[ "A361337", "A361346", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-08T13:19:38
oeisdata/seq/A361/A361346.seq
8dfae630bb1518402d17b248ae10721e
A361347
Numbers k such that A361338(k) = 8.
[ "1919", "2393", "3371", "4379", "5337", "5539", "5939", "5997", "6379", "7319", "7533", "7539", "7771", "7913", "7991", "8193", "8379", "9191", "9319", "9381", "9593", "9759", "9837", "9931", "10119", "10191", "10317", "10373", "10777", "10939", "11179", "11183", "11197", "11343", "11381", "11387", "11597", "11913", "11919", "11943", "11969", "11973", "12133", "12153", "12199", "12379", "12393", "12599", "12733", "12979", "13119", "13137" ]
[ "nonn", "base" ]
9
1
1
[ "A361337", "A361347", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-08T13:23:36
oeisdata/seq/A361/A361347.seq
4f1d44bb6f2c9a5ad69617c838907d34
A361348
Numbers k such that A361338(k) = 9.
[ "3377", "3713", "4779", "5319", "5919", "5981", "7947", "8159", "8839", "9531", "9591", "9883", "10599", "11307", "11339", "11977", "13371", "13377", "13397", "13713", "13969", "14779", "14791", "15319", "15789", "15919", "15933", "15981", "15997", "16393", "16997", "17149", "17183", "17667", "17717", "17733", "17771", "17941", "17947", "17963" ]
[ "nonn", "base" ]
11
1
1
[ "A361337", "A361348", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-08T13:23:51
oeisdata/seq/A361/A361348.seq
0d34c90a4e3766fd6e129671200389ff
A361349
Numbers k such that A361338(k) = 10.
[ "17117", "17727", "17749", "18839", "19933", "21761", "22777", "29391", "30397", "31157", "31317", "31643", "33949", "34199", "35909", "39723", "39789", "39797", "39803", "39813", "42973", "44219", "44517", "46347", "47463", "49171", "49771", "49877", "53211", "53751", "57169", "57311", "57769", "57781", "57941", "57943", "57961", "59093" ]
[ "nonn", "base" ]
20
1
1
[ "A361338", "A361341", "A361348", "A361349" ]
null
N. J. A. Sloane, Apr 05 2023
2023-04-06T10:38:05
oeisdata/seq/A361/A361349.seq
b5fc56e135f0f0419f1300a3099c4083
A361350
A variant of A359143 which includes the intermediate terms before digits are deleted (see Comments for precise definition).
[ "11", "112", "1124", "11248", "1124816", "2486", "248620", "4860", "486018", "48601827", "4860182736", "486018273645", "8601827365", "860182736546", "86018273654656", "8601827365465667", "860182736546566780", "601273654656670", "60127365465667064", "-1273545704", "-127354570438", "-12735457043849", "-1273545704384962", "-127354570438496270", "1273545743849627", "127354574384962777", "12735457438496277791", "273545743849627779" ]
[ "sign", "base", "fini" ]
15
0
1
[ "A359142", "A359143", "A361350" ]
null
N. J. A. Sloane, Mar 16 2023
2023-03-18T08:07:58
oeisdata/seq/A361/A361350.seq
d5c9fb65ead74a19b017f5c2f0bdd5ef
A361351
Carryless n-th powers of n base 10.
[ "1", "1", "4", "7", "6", "5", "6", "3", "6", "9", "10000000000", "115502205511", "1440046600466", "19225142754633", "166668888866666", "1555555555555555", "16000880008800066", "194006440028800877", "1422046880284402844", "11116222228888849999", "600000000000000000000", "2600042000840006800021" ]
[ "nonn", "base" ]
14
0
3
[ "A059729", "A169885", "A169886", "A361351" ]
null
Seiichi Manyama, Mar 09 2023
2023-03-09T09:54:37
oeisdata/seq/A361/A361351.seq
fcbd266e86a9e6e6a82d416dd5455d7c
A361352
Decimal expansion of the conventional value of farad-90 (F_{90}).
[ "9", "9", "9", "9", "9", "9", "9", "8", "2", "2", "0", "6", "3", "3", "2", "7", "5", "2", "2", "9", "0", "9", "8", "6", "4", "1", "5", "2", "2", "8", "3", "3", "8", "6", "2", "5", "4", "2", "1", "8", "8", "7", "5", "1", "2", "0", "1", "1", "9", "2", "7", "6", "1", "2", "9", "3", "0", "5", "6", "9", "4", "1", "1", "4", "9", "3", "4", "7", "7", "7", "7", "4", "3", "0", "3", "3", "7", "0", "4", "5", "2", "5", "4", "4", "9", "3", "7" ]
[ "cons", "nonn", "easy" ]
66
0
1
[ "A248508", "A248510", "A361006", "A361010", "A361011", "A361352" ]
null
Marco Ripà, Apr 02 2023
2023-04-23T22:29:10
oeisdata/seq/A361/A361352.seq
0ac2e290bf31d60075965c503f2752ea
A361353
Triangle read by rows: T(n,k) is the number of simple quasi series-parallel matroids on [n] with rank k, 1 <= k <= n.
[ "1", "0", "1", "0", "1", "1", "0", "0", "5", "1", "0", "0", "15", "16", "1", "0", "0", "0", "175", "42", "1", "0", "0", "0", "735", "1225", "99", "1", "0", "0", "0", "0", "16065", "6769", "219", "1", "0", "0", "0", "0", "76545", "204400", "32830", "466", "1", "0", "0", "0", "0", "0", "2747745", "2001230", "147466", "968", "1", "0", "0", "0", "0", "0", "13835745", "56143395", "16813720", "632434", "1981", "1" ]
[ "nonn", "tabl" ]
16
1
9
[ "A140945", "A359985", "A361353", "A361354", "A361355" ]
null
Andrew Howroyd, Mar 09 2023
2024-10-15T17:11:43
oeisdata/seq/A361/A361353.seq
5771533fe575e40d73a79adf305419c6
A361354
Number of simple quasi series-parallel matroids on [n].
[ "1", "1", "2", "6", "32", "218", "2060", "23054", "314242", "4897410", "87427276", "1741312444", "38482278928", "931618115860", "24554678866736", "699328394272236", "21410158708401980", "701011980397033052", "24445424273647475096", "904440666571331841992", "35386719095200164370912", "1459756349974815778252152" ]
[ "nonn" ]
10
1
3
[ "A007834", "A359986", "A361353", "A361354" ]
null
Andrew Howroyd, Mar 09 2023
2024-10-15T18:06:58
oeisdata/seq/A361/A361354.seq
27b98579c939cffb3afb4666a032e7ac
A361355
Triangle read by rows: T(n,k) is the number of simple series-parallel matroids on [n] with rank k, 1 <= k <= n.
[ "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "15", "1", "0", "0", "0", "0", "75", "1", "0", "0", "0", "0", "735", "280", "1", "0", "0", "0", "0", "0", "9345", "938", "1", "0", "0", "0", "0", "0", "76545", "77805", "2989", "1", "0", "0", "0", "0", "0", "0", "1865745", "536725", "9285", "1", "0", "0", "0", "0", "0", "0", "13835745", "27754650", "3334870", "28446", "1", "0" ]
[ "nonn", "tabl" ]
14
1
13
[ "A007834", "A034941", "A140945", "A359985", "A361282", "A361353", "A361355" ]
null
Andrew Howroyd, Mar 09 2023
2024-10-15T16:13:59
oeisdata/seq/A361/A361355.seq
6337d6764dd06c9708eb9e6a148c21af
A361356
Number of noncrossing caterpillars with n edges.
[ "1", "1", "3", "12", "55", "273", "1372", "6824", "33489", "162405", "779801", "3713436", "17560803", "82553597", "386105790", "1797803248", "8338313697", "38539754649", "177581276639", "815982230060", "3740047627071", "17103604731961", "78054858200448", "355541644914072", "1616688603539025" ]
[ "nonn", "easy" ]
13
0
3
[ "A001764", "A005418", "A245012", "A361356", "A361357", "A361358", "A361359", "A361360" ]
null
Andrew Howroyd, Mar 09 2023
2023-03-12T14:18:14
oeisdata/seq/A361/A361356.seq
a34ae560efd0c6cfcf988a15425f9dc2
A361357
Triangle read by rows: T(n,k) is the number of noncrossing caterpillars with n edges and diameter k, 0 <= k <= n.
[ "1", "0", "1", "0", "0", "3", "0", "0", "4", "8", "0", "0", "5", "30", "20", "0", "0", "6", "75", "144", "48", "0", "0", "7", "154", "595", "504", "112", "0", "0", "8", "280", "1848", "2896", "1536", "256", "0", "0", "9", "468", "4788", "12060", "11268", "4320", "576", "0", "0", "10", "735", "10920", "40700", "58760", "38480", "11520", "1280" ]
[ "nonn", "tabl" ]
19
0
6
[ "A001792", "A361356", "A361357" ]
null
Andrew Howroyd, Mar 09 2023
2025-03-25T08:55:27
oeisdata/seq/A361/A361357.seq
b767077a3cd08bb7585c7d12139185fe
A361358
Expansion of x*(2 - x)/(1 - 5*x + 3*x^2 - x^3).
[ "2", "9", "39", "170", "742", "3239", "14139", "61720", "269422", "1176089", "5133899", "22410650", "97827642", "427040159", "1864128519", "8137349760", "35521403402", "155059096249", "676868620799", "2954687218650", "12897889327102", "56302253600359", "245772287239139", "1072852564721720" ]
[ "nonn", "easy" ]
19
1
1
[ "A361356", "A361358", "A361359", "A361360" ]
null
Andrew Howroyd, Mar 09 2023
2024-07-20T15:46:25
oeisdata/seq/A361/A361358.seq
5a2c1ab08835b11a5b18d1be78fbd10a
A361359
Number of nonequivalent noncrossing caterpillars with n edges up to rotation.
[ "1", "1", "1", "4", "11", "49", "196", "868", "3721", "16306", "70891", "309739", "1350831", "5897934", "25740386", "112368153", "490489041", "2141121271", "9346382981", "40799215354", "178097506051", "777437032059", "3393689486976", "14814237183658", "64667544141561", "282288713218896", "1232255125682671" ]
[ "nonn", "easy" ]
8
0
4
[ "A296532", "A361356", "A361358", "A361359", "A361360" ]
null
Andrew Howroyd, Mar 09 2023
2023-03-11T11:30:43
oeisdata/seq/A361/A361359.seq
48d4a4f38c959cfd81afe53350ff85e3
A361360
Number of nonequivalent noncrossing caterpillars with n edges up to rotation and relection.
[ "1", "1", "1", "3", "7", "28", "104", "448", "1886", "8212", "35556", "155124", "675897", "2950074", "12872294", "56188904", "245253691", "1070581703", "4673231521", "20399699635", "89048927767", "388718917440", "1696845506274", "7407120344070", "32333775400516", "141144364258374", "616127577376396" ]
[ "nonn", "easy" ]
8
0
4
[ "A296533", "A361356", "A361358", "A361359", "A361360" ]
null
Andrew Howroyd, Mar 10 2023
2023-03-11T11:30:40
oeisdata/seq/A361/A361360.seq
1e451250217aeb952fd9316dbd669e56
A361361
Triangle read by rows: T(n,k) is the number of bicolored cubic graphs on 2n unlabeled vertices with k vertices of the first color, n >= 0, 0 <= k <= 2*n.
[ "1", "0", "0", "0", "1", "1", "1", "1", "1", "2", "2", "5", "5", "5", "2", "2", "6", "11", "33", "48", "66", "48", "33", "11", "6", "21", "68", "257", "556", "950", "1071", "950", "556", "257", "68", "21", "94", "510", "2443", "7126", "15393", "23644", "27606", "23644", "15393", "7126", "2443", "510", "94", "540", "4712", "27682", "102122", "270957", "526783", "781292", "887305", "781292", "526783", "270957", "102122", "27682", "4712", "540" ]
[ "nonn", "tabf" ]
13
0
10
[ "A005638", "A321304", "A361361", "A361362", "A361404", "A361409", "A361410", "A361411" ]
null
Andrew Howroyd, Mar 10 2023
2023-03-11T19:48:36
oeisdata/seq/A361/A361361.seq
e09025cfd50bc3293ab0e68f5f609d65
A361362
Number of bicolored cubic graphs on 2n unlabeled vertices.
[ "1", "0", "5", "23", "262", "4775", "126026", "4315481", "177939133", "8486268015", "457398466292", "27442206452816", "1812456359735759", "130630783430897459", "10200930403740584232", "857888417749736680977", "77299388952584465682198", "7429004444540543143978901", "758559920648248499878180973", "82006219796827162656265186759", "9357477001574426557631620060473" ]
[ "nonn" ]
9
0
3
[ "A361361", "A361362", "A361403" ]
null
Andrew Howroyd, Mar 10 2023
2023-03-11T19:48:28
oeisdata/seq/A361/A361362.seq
10c4635efa1659798d40ef8bffabf1ef
A361363
Primitive terms of A259850.
[ "1", "3", "8", "14", "15", "21", "26", "40", "130", "144", "182", "255", "310", "372", "465", "468", "680", "980", "1524", "2170", "2210", "2418", "2448", "4030", "4536", "7008", "7956", "8890", "9906", "10220", "10416", "10668", "12648", "16335", "16660", "17082", "20216", "24624", "30800", "36792", "41106", "44055", "48400", "65535", "77112", "78320", "85120", "97790", "143000", "149688" ]
[ "nonn" ]
7
1
2
[ "A000010", "A000203", "A259850", "A361363" ]
null
Robert Israel, Mar 09 2023
2023-03-09T13:52:36
oeisdata/seq/A361/A361363.seq
5f4f54ae94acdf4010516cb7f706d4e0
A361364
Number of 5-dimensional cubic lattice walks that start and end at origin after 2n steps, not touching origin at intermediate stages.
[ "1", "10", "170", "6500", "332050", "19784060", "1296395700", "90616189800", "6637652225250", "503852804991500", "39337349077483420", "3142010167321271000", "255747325678297576100", "21150729618673827139000", "1773152567858996728205000", "150409554094012703302602000", "12890454660664800562838261250" ]
[ "nonn", "walk" ]
24
0
2
[ "A002420", "A039699", "A049037", "A054474", "A169714", "A287317", "A359801", "A361364", "A361397" ]
null
Shel Kaphan, Mar 09 2023
2024-11-15T19:30:11
oeisdata/seq/A361/A361364.seq
76800943c03d62fdd312bcecf64491bf
A361365
a(n) is the minimum possible sum of 2*n distinct positive numbers in a set, arranged in two subsets of size n each, such that the sum of any one element in each of the two subsets is a prime number.
[ "3", "10", "29", "90", "207", "384", "689", "1226", "2523", "4446", "7919" ]
[ "nonn", "more" ]
43
1
1
[ "A000040", "A000290", "A005843", "A361365" ]
null
Tamas Sandor Nagy, Mar 09 2023
2024-12-19T11:45:36
oeisdata/seq/A361/A361365.seq
e5307aadc36609221b367027e7ce52b8
A361366
Number of unlabeled simple planar digraphs with n nodes.
[ "1", "3", "16", "218", "9026", "907123" ]
[ "nonn", "more" ]
11
1
2
[ "A000273", "A005470", "A361366" ]
null
Manfred Scheucher, Mar 09 2023
2023-03-10T10:09:14
oeisdata/seq/A361/A361366.seq
dcc06f2fc0240bb86b687bf1a0f32360
A361367
Number of weakly 2-connected simple digraphs with n unlabeled nodes.
[ "7", "129", "7447", "1399245", "853468061", "1774125803324", "12983268697759210", "340896057593147232397", "32512334188761655225275067", "11365639780174824680535568799361", "14668665138188644335253106665956458513", "70315069858161131939222463684374769308619684" ]
[ "nonn" ]
15
3
1
[ "A000273", "A002218", "A003085", "A361367" ]
null
Manfred Scheucher, Mar 09 2023
2023-03-10T10:09:19
oeisdata/seq/A361/A361367.seq
8b7d92754e4a6eee858208423b2538d8
A361368
Number of weakly connected simple planar digraphs with n unlabeled nodes.
[ "2", "13", "199", "8782", "897604" ]
[ "nonn", "more" ]
12
2
1
[ "A000273", "A003085", "A003094", "A361366", "A361368" ]
null
Manfred Scheucher, Mar 09 2023
2023-03-10T10:09:09
oeisdata/seq/A361/A361368.seq
57c377f638c58a2958b19a28e81ce138
A361369
Number of weakly 2-connected simple planar digraphs with n unlabeled nodes.
[ "7", "129", "6865", "774052" ]
[ "nonn", "more" ]
10
3
1
[ "A000273", "A003085", "A021103", "A361366", "A361368", "A361369" ]
null
Manfred Scheucher, Mar 09 2023
2023-03-10T10:09:04
oeisdata/seq/A361/A361369.seq
ca77aa4837d4aa9def12f9a0fe5a6ee1
A361370
Number of weakly 3-connected simple digraphs with n unlabeled nodes.
[ "42", "3270", "879508" ]
[ "nonn", "bref", "more" ]
8
4
1
[ "A000273", "A003085", "A006290", "A361367", "A361370" ]
null
Manfred Scheucher, Mar 09 2023
2023-03-10T10:08:25
oeisdata/seq/A361/A361370.seq
211443cce963a5026903983d809b8306
A361371
Number of weakly 3-connected simple planar digraphs with n unlabeled nodes.
[ "42", "2688", "316208" ]
[ "nonn", "more" ]
7
4
1
[ "A000273", "A000944", "A003085", "A361366", "A361370", "A361371" ]
null
Manfred Scheucher, Mar 09 2023
2023-03-10T10:08:59
oeisdata/seq/A361/A361371.seq
6852b91dafb27e26706434f666643040
A361372
Lexicographically earliest sequence of distinct positive numbers such that the number of occurrences of each prime number in the factorization of all terms a(1)..a(n) is at most one more than the number of occurrences of the next most frequently occurring prime.
[ "1", "2", "3", "5", "6", "7", "10", "9", "11", "13", "17", "19", "23", "29", "31", "35", "4", "37", "41", "43", "47", "53", "59", "61", "67", "71", "73", "77", "15", "26", "79", "83", "89", "91", "21", "34", "97", "101", "103", "107", "109", "113", "121", "25", "57", "38", "127", "131", "137", "139", "143", "49", "14", "149", "151", "157", "163", "167", "173", "179", "181", "191", "193", "197", "199", "211", "223", "227", "229" ]
[ "nonn", "look" ]
11
1
2
[ "A000040", "A011371", "A027746", "A361372" ]
null
Scott R. Shannon, Mar 27 2023
2023-04-01T09:24:20
oeisdata/seq/A361/A361372.seq
a92d48ca410aad4a92ba0db1d589c950
A361373
Number of prime powers p^m <= n such that p | n.
[ "0", "1", "1", "2", "1", "3", "1", "3", "2", "4", "1", "5", "1", "4", "3", "4", "1", "6", "1", "5", "3", "5", "1", "6", "2", "5", "3", "5", "1", "9", "1", "5", "4", "6", "3", "8", "1", "6", "4", "7", "1", "9", "1", "6", "5", "6", "1", "8", "2", "7", "4", "6", "1", "8", "3", "7", "4", "6", "1", "10", "1", "6", "5", "6", "3", "10", "1", "7", "4", "10", "1", "9", "1", "7", "5", "7", "3", "10", "1", "8", "4", "7", "1", "12", "3", "7" ]
[ "nonn", "easy" ]
38
1
4
[ "A000005", "A000040", "A007947", "A010846", "A020639", "A126706", "A138109", "A138511", "A162306", "A246547", "A246655", "A361373" ]
null
Michael De Vlieger, Jun 17 2024
2024-09-20T14:15:29
oeisdata/seq/A361/A361373.seq
bf9b67693a6fdd11403a42f9058c505e
A361374
Make a square spiral starting with a(1)=1, a(2)=2. Then, each position gets the smallest unused number which is the sum of a path of numbers starting from that position.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17", "18", "19", "20", "21", "22", "23", "24", "25", "26", "27", "28", "29", "30", "31", "32", "33", "34", "35", "36", "37", "38", "39", "40", "41", "42", "43", "44", "45", "46", "47", "48", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "60", "61", "62", "63", "64", "65", "66", "67", "68", "69", "70", "71", "72", "74" ]
[ "nonn" ]
35
1
2
[ "A141481", "A174344", "A274923", "A334742", "A361374" ]
null
Samuel Harkness, Mar 28 2023
2023-05-16T14:58:31
oeisdata/seq/A361/A361374.seq
941e3f8b6ec41bdc0c10142fb7f67259
A361375
Expansion of 1/(1 - 9*x/(1 - x))^(1/3).
[ "1", "3", "21", "165", "1380", "11982", "106626", "965442", "8854725", "82022115", "765787773", "7195638909", "67973370618", "644991134880", "6143707229880", "58714212503784", "562741793028282", "5407273475087934", "52074626299010130", "502513862912425650", "4857975310180620720" ]
[ "nonn" ]
26
0
2
[ "A004987", "A085362", "A361375", "A361843", "A361844", "A361845", "A361880", "A361895", "A361896" ]
null
Seiichi Manyama, Mar 28 2023
2023-03-30T09:14:54
oeisdata/seq/A361/A361375.seq
579011cd2ff5cfa31df79e87ed0d83d4
A361376
Rewrite A129912(n), a product of distinct primorials P(i) = A002110(i) instead as a sum of powers 2^(i-1).
[ "0", "1", "2", "3", "4", "5", "6", "8", "7", "9", "10", "16", "11", "17", "12", "13", "18", "19", "32", "14", "33", "20", "15", "21", "34", "35", "22", "24", "64", "23", "36", "25", "65", "37", "26", "66", "38", "27", "67", "40", "128", "39", "41", "28", "68", "129", "29", "69", "42", "130", "48", "43", "30", "70", "72", "131", "49", "31", "71", "44", "73", "256", "132", "45", "50", "257", "133", "74", "51", "46", "80", "75", "258", "134", "136" ]
[ "nonn" ]
22
1
3
[ "A002110", "A129912", "A272011", "A283477", "A361376" ]
null
Michael De Vlieger, Jun 08 2023
2023-06-11T12:28:54
oeisdata/seq/A361/A361376.seq
fba0b8aef437715e58bab0630bc5aa59
A361377
Squares visited by a knight moving on a spirally numbered board always to the lowest unvisited coprime square.
[ "1", "10", "3", "8", "5", "2", "7", "4", "9", "22", "19", "16", "33", "58", "13", "28", "25", "46", "21", "40", "17", "6", "23", "20", "39", "70", "43", "76", "47", "26", "11", "14", "29", "32", "15", "62", "37", "18", "35", "38", "63", "34", "59", "30", "53", "12", "31", "54", "85", "124", "51", "80", "83", "52", "49", "24", "77", "48", "119", "50", "27", "86", "55", "128", "89", "92" ]
[ "nonn", "fini", "full" ]
25
1
2
[ "A316667", "A326922", "A328928", "A328929", "A361377" ]
null
Jodi Spitz, Mar 09 2023
2023-03-19T21:15:45
oeisdata/seq/A361/A361377.seq
bc62ccf98ec1b434d2c57fae9f4ff716
A361378
Number of musical scales in n tone equal temperament respecting the property that alternate notes are 3 or 4 semitones apart.
[ "0", "1", "2", "3", "3", "3", "8", "8", "12", "16", "25", "33", "45", "66", "91", "128", "177", "252", "351", "491", "689", "966", "1354", "1894", "2658", "3723", "5217", "7309", "10244", "14355", "20112", "28185", "39494", "55343", "77547", "108667", "152272", "213372", "298992", "418968", "587089", "822665", "1152777", "1615350" ]
[ "nonn", "easy" ]
26
1
3
null
null
Donovan Young, Mar 09 2023
2023-05-20T16:17:26
oeisdata/seq/A361/A361378.seq
b6a3284ec1a6e7ffe84055b09106a9e8
A361379
Distinct values of A361401, in order of appearance.
[ "0", "1", "3", "2", "4", "6", "10", "12", "7", "15", "8", "16", "20", "24", "36", "40", "48", "5", "9", "11", "13", "19", "21", "25", "27", "43", "45", "51", "53", "14", "26", "28", "30", "54", "58", "60", "31", "63", "32", "64", "72", "80", "96", "136", "144", "160", "192", "17", "33", "35", "37", "41", "49", "67", "69", "73", "81", "83", "85", "97", "99", "101", "147", "149", "153" ]
[ "nonn", "base" ]
23
0
3
[ "A361379", "A361401", "A361422" ]
null
Rémy Sigrist, Mar 11 2023
2023-03-13T12:01:31
oeisdata/seq/A361/A361379.seq
fa1dfd2045ed8e9c9cbf6f5f3051aa88
A361380
Sum over the j-th term of the (n-j)-th inverse binomial transform of the Bell numbers (A000110) for all j in [n].
[ "1", "2", "3", "6", "17", "56", "215", "922", "4305", "21894", "119539", "696632", "4314925", "28237146", "194602079", "1407456694", "10649642837", "84100177424", "691474151187", "5907288773554", "52340230286509", "480153099982726", "4553711640946919", "44584683333637168", "450075389309517849" ]
[ "nonn" ]
30
0
2
[ "A000110", "A059841", "A290219", "A347420", "A361380", "A361781" ]
null
Alois P. Heinz, Mar 09 2023
2023-04-05T13:31:32
oeisdata/seq/A361/A361380.seq
fb1427985b92dde5a480f83c116397b0
A361381
In continued fraction convergents of sqrt(d), where d=A005117(n) (squarefree numbers), the position of a/b where abs(a^2 - d*b^2) = 1 or 4.
[ "2", "4", "1", "2", "1", "4", "2", "1", "6", "2", "6", "4", "1", "1", "2", "8", "4", "4", "2", "1", "2", "2", "3", "2", "10", "12", "4", "2", "1", "4", "6", "7", "6", "3", "4", "1", "2", "10", "2", "6", "8", "7", "5", "2", "4", "4", "1", "2", "1", "10", "2", "5", "8", "4", "16", "4", "11", "1", "2", "12", "2", "9", "6", "5", "2", "6", "9", "6", "10", "10", "4", "1", "2", "12", "10", "3", "6", "4", "14", "9", "4", "18", "4", "4", "2", "1", "2", "3", "20", "10", "4", "5", "8", "10", "10", "18", "2", "22" ]
[ "nonn" ]
32
5
1
[ "A005117", "A107997", "A361381" ]
null
Ed Pegg Jr, Mar 09 2023
2024-02-04T15:39:22
oeisdata/seq/A361/A361381.seq
49ec182008cc2ba9519d5878033711c4
A361382
The orders, with repetition, of subset-transitive permutation groups.
[ "1", "2", "3", "6", "12", "20", "24", "60", "120", "120", "360", "720", "2520", "5040", "20160", "40320", "181440", "362880", "1814400", "3628800", "19958400", "39916800", "239500800", "479001600", "3113510400", "6227020800", "43589145600", "87178291200", "653837184000", "1307674368000", "10461394944000", "20922789888000" ]
[ "nonn" ]
13
1
2
[ "A000142", "A001710", "A187741", "A361382" ]
null
Hal M. Switkay, Mar 09 2023
2023-03-13T05:59:15
oeisdata/seq/A361/A361382.seq
ef71f1e204222565381e1963de9c0587
A361383
a(n) is the number of locations 1..n-1 which can be reached starting from location i=a(n-1), where jumps from location i to i +- a(i) are permitted (within 1..n-1); a(1)=1. See example.
[ "1", "1", "2", "3", "3", "4", "5", "4", "7", "7", "7", "7", "8", "8", "8", "8", "8", "8", "8", "15", "16", "15", "16", "15", "18", "17", "18", "19", "19", "19", "19", "19", "19", "19", "19", "19", "19", "19", "19", "22", "24", "22", "24", "23", "24", "26", "26", "26", "26", "26", "26", "26", "26", "26", "29", "32", "33", "35", "32", "35", "32", "35", "32", "35", "32", "35", "32", "36", "35", "37" ]
[ "nonn" ]
31
1
3
[ "A358838", "A360593", "A360594", "A360595", "A360744", "A360745", "A360746", "A361383" ]
null
Neal Gersh Tolunsky, Mar 09 2023
2023-03-20T16:01:25
oeisdata/seq/A361/A361383.seq
54b0127262691a624e51abd1601662b8
A361384
a(n) is the number of distinct prime factors of the n-th unitary harmonic number.
[ "0", "2", "2", "3", "3", "4", "4", "3", "4", "5", "4", "5", "4", "3", "4", "5", "4", "5", "4", "4", "3", "5", "4", "5", "5", "5", "5", "5", "5", "4", "5", "5", "4", "5", "5", "5", "5", "4", "4", "4", "5", "6", "5", "6", "5", "5", "6", "6", "5", "5", "6", "6", "5", "5", "6", "6", "6", "6", "5", "6", "5", "6", "6", "6", "5", "6", "5", "6", "5", "6", "5", "6", "4", "5", "6", "6", "6", "6", "5", "6", "5", "6", "6", "6", "6", "5", "6" ]
[ "nonn" ]
13
1
2
[ "A001221", "A006086", "A006087", "A361384" ]
null
Amiram Eldar, Mar 10 2023
2023-03-10T10:53:47
oeisdata/seq/A361/A361384.seq
bae6fd20f56ddd293a6c013a437fbe98
A361385
a(n) is the number of "Fermi-Dirac prime" factors (or I-components) of the n-th infinitary harmonic number.
[ "0", "2", "2", "3", "3", "4", "4", "4", "5", "5", "5", "4", "3", "5", "5", "5", "4", "6", "5", "5", "6", "6", "5", "6", "5", "6", "6", "6", "5", "7", "4", "5", "5", "6", "7", "6", "6", "6", "7", "6", "6", "7", "6", "6", "6", "7", "6", "8", "7", "7", "7", "6", "7", "7", "7", "6", "8", "6", "5", "6", "7", "6", "7", "7", "6", "8", "7", "7", "8", "7", "6", "7", "8", "7", "6", "8", "7", "7", "7", "7", "9", "6", "8", "6", "8", "8", "7" ]
[ "nonn" ]
10
1
2
[ "A006086", "A006087", "A361384", "A361385" ]
null
Amiram Eldar, Mar 10 2023
2023-03-10T10:53:40
oeisdata/seq/A361/A361385.seq
c43e99716b7b7c9da207d3e1b0b3bbaf
A361386
Infinitary arithmetic numbers: numbers for which the arithmetic mean of the infinitary divisors is an integer.
[ "1", "3", "5", "6", "7", "9", "11", "12", "13", "14", "15", "17", "19", "21", "22", "23", "25", "27", "28", "29", "30", "31", "33", "35", "37", "38", "39", "41", "42", "43", "44", "45", "46", "47", "48", "49", "51", "53", "54", "55", "56", "57", "59", "60", "61", "62", "63", "65", "66", "67", "69", "70", "71", "73", "75", "76", "77", "78", "79", "81", "83", "84", "85", "86", "87", "89", "91" ]
[ "nonn" ]
9
1
2
[ "A003601", "A037445", "A049417", "A077609", "A103826", "A361386" ]
null
Amiram Eldar, Mar 10 2023
2023-03-10T10:45:38
oeisdata/seq/A361/A361386.seq
b688306b14cc1d57bb66b6b982048ff9
A361387
Infinitary arithmetic numbers k whose mean infinitary divisor is an infinitary divisor of k.
[ "1", "6", "60", "270", "420", "630", "2970", "5460", "8190", "36720", "136500", "172900", "204750", "245700", "491400", "790398", "791700", "819000", "1037400", "1138320", "1187550", "1228500", "1801800", "2457000", "3767400", "4176900", "4504500", "5405400", "6397300", "6688500", "6741630", "7698600", "8353800", "10032750", "10228680" ]
[ "nonn" ]
9
1
2
[ "A007340", "A037445", "A049417", "A063947", "A077609", "A353039", "A361386", "A361387" ]
null
Amiram Eldar, Mar 10 2023
2023-03-10T10:53:37
oeisdata/seq/A361/A361387.seq
407eaf0e854c44ab0d99dc312f1def26
A361388
Number of orders of distances to vertices of n-dimensional cube.
[ "1", "2", "8", "96", "5376", "1981440", "5722536960", "138430238607360" ]
[ "nonn", "hard", "more" ]
19
0
2
[ "A009997", "A361388" ]
null
Pierre Abbat, Mar 10 2023
2023-03-27T07:53:00
oeisdata/seq/A361/A361388.seq
bb016ddebcd49c29a940500c928179ff
A361389
a(n) is the least positive integer that can be expressed as the sum of one or more consecutive nonzero palindromes in exactly n ways.
[ "1", "3", "9", "696", "7656", "11880000000000", "16394400000000" ]
[ "nonn", "base", "more" ]
26
1
2
[ "A002113", "A361389" ]
null
Ilya Gutkovskiy, Mar 13 2023
2023-03-14T09:29:10
oeisdata/seq/A361/A361389.seq
dfe6a078f5928b6efcda9f8f46143326
A361390
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) is carryless n^k base 10.
[ "1", "0", "1", "0", "1", "1", "0", "1", "2", "1", "0", "1", "4", "3", "1", "0", "1", "8", "9", "4", "1", "0", "1", "6", "7", "6", "5", "1", "0", "1", "2", "1", "4", "5", "6", "1", "0", "1", "4", "3", "6", "5", "6", "7", "1", "0", "1", "8", "9", "4", "5", "6", "9", "8", "1", "0", "1", "6", "7", "6", "5", "6", "3", "4", "9", "1", "0", "1", "2", "1", "4", "5", "6", "1", "2", "1", "10", "1", "0", "1", "4", "3", "6", "5", "6", "7", "6", "9", "100", "11", "1", "0", "1", "8", "9", "4", "5", "6", "9", "8", "1", "1000", "121", "12", "1" ]
[ "nonn", "tabl", "base" ]
27
0
9
[ "A000007", "A000012", "A000689", "A001148", "A001477", "A004248", "A059729", "A059734", "A168428", "A169885", "A169886", "A359697", "A361351", "A361390" ]
null
Seiichi Manyama, Mar 10 2023
2023-03-10T09:32:45
oeisdata/seq/A361/A361390.seq
ae78252bda979829e94712868bc7b479
A361391
Number of strict integer partitions of n with non-integer mean.
[ "1", "0", "0", "1", "0", "2", "0", "4", "2", "4", "5", "11", "0", "17", "15", "13", "15", "37", "18", "53", "24", "48", "78", "103", "23", "111", "152", "143", "123", "255", "110", "339", "238", "372", "495", "377", "243", "759", "845", "873", "414", "1259", "842", "1609", "1383", "1225", "2281", "2589", "1285", "2827", "2518", "3904", "3836", "5119", "3715", "4630" ]
[ "nonn" ]
11
0
6
[ "A000009", "A000041", "A008284", "A051293", "A058398", "A067538", "A082550", "A102627", "A143773", "A175397", "A175761", "A237984", "A240219", "A240850", "A307683", "A316413", "A325347", "A326027", "A326567", "A326568", "A326641", "A326839", "A326840", "A326849", "A327472", "A327475", "A327482", "A348551", "A349156", "A359897", "A359907", "A359908", "A359912", "A360952", "A361391" ]
null
Gus Wiseman, Mar 11 2023
2023-03-16T12:23:44
oeisdata/seq/A361/A361391.seq
a794aa8f4daa7baff500bab167305455
A361392
Number of integer partitions of n whose first differences have mean -1.
[ "0", "0", "0", "1", "0", "2", "1", "3", "2", "5", "4", "8", "7", "12", "12", "19", "19", "29", "31", "43", "48", "65", "73", "97", "110", "142", "164", "208", "240", "301", "350", "432", "504", "617", "719", "874", "1019", "1228", "1434", "1717", "2001", "2385", "2778", "3292", "3831", "4522", "5252", "6177", "7164", "8392", "9722", "11352", "13125", "15283", "17643" ]
[ "nonn" ]
6
0
6
[ "A000009", "A000041", "A008284", "A032741", "A047993", "A058398", "A067538", "A102627", "A144300", "A237363", "A237832", "A316413", "A326567", "A326568", "A326839", "A326840", "A327482", "A348551", "A360614", "A360615", "A360688", "A361392" ]
null
Gus Wiseman, Mar 13 2023
2023-03-19T15:31:40
oeisdata/seq/A361/A361392.seq
1392f67ae2d28beab9d217969259d1ed
A361393
Positive integers k such that 2*omega(k) > bigomega(k).
[ "2", "3", "5", "6", "7", "10", "11", "12", "13", "14", "15", "17", "18", "19", "20", "21", "22", "23", "26", "28", "29", "30", "31", "33", "34", "35", "37", "38", "39", "41", "42", "43", "44", "45", "46", "47", "50", "51", "52", "53", "55", "57", "58", "59", "60", "61", "62", "63", "65", "66", "67", "68", "69", "70", "71", "73", "74", "75", "76", "77", "78", "79", "82", "83", "84", "85" ]
[ "nonn" ]
10
1
1
[ "A001221", "A001222", "A046660", "A056239", "A061395", "A067340", "A067801", "A111907", "A112798", "A237363", "A237365", "A239959", "A324515", "A324517", "A324519", "A324521", "A324522", "A324560", "A324562", "A326567", "A326568", "A360005", "A360254", "A360457", "A360558", "A361204", "A361393", "A361394", "A361395" ]
null
Gus Wiseman, Mar 16 2023
2023-03-21T07:01:45
oeisdata/seq/A361/A361393.seq
36cbf688277c207839123c9ab7d21721
A361394
Number of integer partitions of n where 2*(number of distinct parts) >= (number of parts).
[ "1", "1", "2", "2", "4", "6", "8", "11", "15", "20", "30", "38", "49", "65", "83", "108", "139", "178", "224", "286", "358", "437", "550", "684", "837", "1037", "1269", "1553", "1889", "2295", "2770", "3359", "4035", "4843", "5808", "6951", "8312", "9902", "11752", "13958", "16531", "19541", "23037", "27162", "31911", "37488", "43950", "51463", "60127", "70229" ]
[ "nonn" ]
10
0
3
[ "A000009", "A000041", "A008284", "A058398", "A067538", "A102627", "A106529", "A116608", "A144300", "A237363", "A237832", "A240219", "A316413", "A349156", "A360254", "A360558", "A361394", "A361395" ]
null
Gus Wiseman, Mar 17 2023
2023-03-19T18:09:06
oeisdata/seq/A361/A361394.seq
f2687ae97734364de11fc13b518e1bb9
A361395
Positive integers k such that 2*omega(k) >= bigomega(k).
[ "1", "2", "3", "4", "5", "6", "7", "9", "10", "11", "12", "13", "14", "15", "17", "18", "19", "20", "21", "22", "23", "24", "25", "26", "28", "29", "30", "31", "33", "34", "35", "36", "37", "38", "39", "40", "41", "42", "43", "44", "45", "46", "47", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "60", "61", "62", "63", "65", "66", "67", "68", "69", "70", "71", "73", "74" ]
[ "nonn" ]
6
1
2
[ "A001221", "A001222", "A046660", "A056239", "A061395", "A067340", "A067801", "A111907", "A112798", "A237363", "A237365", "A239959", "A324515", "A324517", "A324521", "A324560", "A324562", "A360005", "A360248", "A360249", "A360254", "A360454", "A360457", "A360558", "A361204", "A361205", "A361393", "A361394", "A361395" ]
null
Gus Wiseman, Mar 16 2023
2023-03-16T19:46:52
oeisdata/seq/A361/A361395.seq
12ce77e9c14f5b345cde7f7f287003c3
A361396
Integers k such that 28*phi(29*197^3*k) is not a totient number where phi is the totient function.
[ "1", "2", "3", "4", "6", "7517", "15034", "18059", "22551", "28019", "30068", "30983", "36118", "45102", "56038", "61966", "65267", "67427", "67499", "71387", "84057", "84947", "90677", "92949", "97187", "112076", "115469", "123932", "127487", "130534", "130787", "134854", "134998", "142774", "168114", "169067", "169894", "181354", "185898", "191579", "194374", "195801" ]
[ "nonn" ]
11
1
2
[ "A000010", "A007617", "A361058", "A361396" ]
null
Michel Marcus, Mar 10 2023
2023-03-11T04:02:33
oeisdata/seq/A361/A361396.seq
c1bbb1d271c2a1a6fa0b55b13ae2be87
A361397
Number A(n,k) of k-dimensional cubic lattice walks with 2n steps from origin to origin and avoiding early returns to the origin; square array A(n,k), n>=0, k>=0, read by antidiagonals.
[ "1", "1", "0", "1", "2", "0", "1", "4", "2", "0", "1", "6", "20", "4", "0", "1", "8", "54", "176", "10", "0", "1", "10", "104", "996", "1876", "28", "0", "1", "12", "170", "2944", "22734", "22064", "84", "0", "1", "14", "252", "6500", "108136", "577692", "275568", "264", "0", "1", "16", "350", "12144", "332050", "4525888", "15680628", "3584064", "858", "0" ]
[ "nonn", "tabl" ]
46
0
5
[ "A000007", "A000012", "A000108", "A002420", "A005843", "A049037", "A054474", "A139271", "A287318", "A359801", "A361297", "A361364", "A361397" ]
null
Alois P. Heinz, Mar 10 2023
2023-03-21T13:26:19
oeisdata/seq/A361/A361397.seq
e52b4c3f52e76f0aadd65bb002de3b48
A361398
An infiltration of two words, say x and y, is a shuffle of x and y optionally followed by replacements of pairs of consecutive equal symbols, say two d's, one of which comes from x and the other from y, by a single d (that cannot be part of another replacement); a(n) is the number of distinct infiltrations of the word given by the binary representation of n with itself.
[ "1", "2", "5", "3", "9", "12", "9", "4", "14", "28", "30", "21", "19", "21", "14", "5", "20", "53", "68", "60", "55", "74", "68", "32", "34", "60", "55", "36", "34", "32", "20", "6", "27", "89", "126", "134", "120", "181", "196", "108", "88", "181", "183", "136", "151", "164", "126", "45", "55", "134", "151", "129", "107", "136", "120", "54", "69", "108", "88", "54", "55", "45", "27" ]
[ "nonn", "base" ]
17
0
2
[ "A000096", "A191755", "A193020", "A361398" ]
null
Rémy Sigrist, Mar 10 2023
2023-03-15T16:27:38
oeisdata/seq/A361/A361398.seq
221071ec3c25059b0c6d2c7214a5a84f
A361399
a(n) is the least k such that the binary expansion of n is a self-infiltration of that of k.
[ "0", "1", "2", "1", "2", "5", "2", "3", "4", "5", "2", "5", "2", "5", "6", "3", "4", "9", "10", "5", "4", "5", "10", "11", "4", "5", "6", "5", "6", "13", "6", "7", "8", "9", "18", "9", "4", "9", "10", "11", "4", "9", "10", "5", "10", "5", "22", "11", "4", "9", "10", "5", "10", "5", "6", "11", "12", "13", "6", "13", "6", "13", "14", "7", "8", "17", "18", "9", "18", "9", "18", "19", "8", "9", "10", "19", "10", "21" ]
[ "nonn", "base" ]
17
0
3
[ "A020330", "A070939", "A361398", "A361399", "A361401" ]
null
Rémy Sigrist, Mar 10 2023
2023-03-15T16:27:48
oeisdata/seq/A361/A361399.seq
ac8eb95f7570640dd2adbce897442e7a
A361400
a(n) is the product of n and the number displayed on the upper face of a six-sided die as a result of its rotation through the edge when rolling over the cell with the number n of the square spiral of the natural row.
[ "1", "4", "9", "4", "20", "12", "21", "8", "36", "60", "22", "12", "65", "56", "30", "48", "85", "18", "38", "120", "105", "66", "46", "96", "125", "78", "162", "112", "29", "90", "186", "160", "33", "68", "210", "180", "37", "114", "234", "160", "41", "126", "258", "220", "45", "92", "282", "240", "49", "100", "153", "260", "212", "108", "165", "280", "228", "58", "177", "360", "244" ]
[ "nonn" ]
15
1
2
[ "A361136", "A361400" ]
null
Nicolay Avilov, Mar 10 2023
2023-05-13T13:52:08
oeisdata/seq/A361/A361400.seq
1164d949a6629d6f711031a47689f002