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348
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score
int64
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2.35k
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int64
-14,827
666,262,453B
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635M
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1999-12-11 03:00:00
2025-07-14 02:38:35
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A360501
Number of edges added at n-th generation of hexagonal graph constructed in first quadrant (see Comments for precise definition).
[ "0", "1", "1", "2", "4", "5", "6", "7", "8", "10", "10", "12", "12", "15", "14", "17", "16", "20", "18", "22", "20", "25", "22", "27", "24", "30", "26", "32", "28", "35", "30", "37", "32", "40", "34", "42", "36", "45", "38", "47", "40", "50", "42", "52", "44", "55", "46", "57", "48", "60", "50", "62", "52", "65", "54", "67", "56", "70", "58", "72", "60", "75", "62", "77", "64", "80", "66", "82", "68", "85", "70", "87", "72", "90" ]
[ "nonn" ]
42
0
4
[ "A106466", "A182838", "A265428", "A265429", "A360501", "A360512" ]
null
N. J. A. Sloane, Feb 09 2023
2023-02-20T20:25:07
oeisdata/seq/A360/A360501.seq
6001dd242d3707c22a83b1d7617566ff
A360502
Concatenate the ternary strings for 1,2,...,n.
[ "1", "12", "1210", "121011", "12101112", "1210111220", "121011122021", "12101112202122", "12101112202122100", "12101112202122100101", "12101112202122100101102", "12101112202122100101102110", "12101112202122100101102110111", "12101112202122100101102110111112", "12101112202122100101102110111112120" ]
[ "nonn", "base" ]
40
1
2
[ "A007089", "A007908", "A036954", "A360502", "A360503", "A360504" ]
null
N. J. A. Sloane, Feb 16 2023
2023-04-19T11:31:44
oeisdata/seq/A360/A360502.seq
94d2c0ce725c52ef69c6ab3801706440
A360503
Numbers k such that A048435(k) is prime.
[ "2", "5", "82", "2546" ]
[ "nonn", "more", "base" ]
9
1
1
[ "A007089", "A048435", "A360502", "A360503" ]
null
N. J. A. Sloane, Feb 17 2023
2023-02-19T16:21:24
oeisdata/seq/A360/A360503.seq
184202b91e4b181c1dfadf28acc77207
A360504
Concatenate the ternary strings for 1,2,...,n-1, n, n-1, ..., 2,1.
[ "1", "121", "121021", "1210111021", "12101112111021", "121011122012111021", "1210111220212012111021", "12101112202122212012111021", "1210111220212210022212012111021", "1210111220212210010110022212012111021", "1210111220212210010110210110022212012111021", "1210111220212210010110211010210110022212012111021" ]
[ "nonn", "base" ]
31
1
2
[ "A007089", "A173426", "A360502", "A360503", "A360504" ]
null
N. J. A. Sloane, Feb 17 2023
2023-10-01T09:56:52
oeisdata/seq/A360/A360504.seq
eacffd029671e157a5329a916c3e925a
A360505
Concatenate the ternary strings for n, n-1, n-2, ..., 2, 1.
[ "1", "21", "1021", "111021", "12111021", "2012111021", "212012111021", "22212012111021", "10022212012111021", "10110022212012111021", "10210110022212012111021", "11010210110022212012111021", "11111010210110022212012111021", "11211111010210110022212012111021", "12011211111010210110022212012111021" ]
[ "nonn", "base" ]
20
1
2
[ "A000422", "A007809", "A360502", "A360505", "A360506" ]
null
N. J. A. Sloane, Feb 17 2023
2023-02-19T16:22:09
oeisdata/seq/A360/A360505.seq
1878febf89a93b51af1c717ebefa911d
A360506
Read A360505(n) as if it were a base-3 string and write it in base 10.
[ "1", "7", "34", "358", "4003", "43369", "456712", "4708240", "47754961", "1339156591", "39693785002", "1169411930926", "34213667699203", "995038950807565", "28790341783585180", "829295063367580492", "23793774263808446005", "680307709052882601259", "19390954850541496025998" ]
[ "nonn", "base" ]
29
1
2
[ "A028898", "A048435", "A360502", "A360503", "A360505", "A360506", "A360507" ]
null
N. J. A. Sloane, Feb 17 2023
2023-11-09T08:54:48
oeisdata/seq/A360/A360506.seq
316cf6451eed10da2464ab1b49b1b046
A360507
Numbers k such that A360506(k) is prime.
[ "2", "5", "13", "57", "109", "638", "3069" ]
[ "nonn", "base", "more" ]
12
1
1
[ "A048435", "A360503", "A360506", "A360507" ]
null
Rémy Sigrist and N. J. A. Sloane, Feb 18 2023
2023-02-19T16:22:47
oeisdata/seq/A360/A360507.seq
061a151a16690a9afb127d49cc29be7a
A360508
Numbers k such that A300570(k) considered simply as a decimal string is prime.
[ "2", "4", "13", "57", "64", "349" ]
[ "nonn", "base", "more" ]
21
1
1
[ "A098780", "A300570", "A348792", "A360508" ]
null
N. J. A. Sloane, Feb 19 2023
2023-07-11T09:12:44
oeisdata/seq/A360/A360508.seq
985f51649a89f6f8f7ed246e779c99f5
A360509
Number of words of length n over the alphabet [A-Z] that do not contain the string CAT.
[ "1", "26", "676", "17575", "456924", "11879348", "308845473", "8029525374", "208755780376", "5427341444303", "141102848026504", "3668465292908728", "95374670274182625", "2479600324280721746", "64465939966005856668", "1676019064445878090743", "43574016075268549637572", "1132859952017016284720204" ]
[ "nonn" ]
12
0
2
null
null
N. J. A. Sloane, Feb 24 2023
2023-12-02T17:33:39
oeisdata/seq/A360/A360509.seq
3f83723e04f8ca59298795d8c94f6a44
A360510
a(n) = Product_{i=2..n} p(i) - p(n+1)^2, where p(i) is the i-th prime.
[ "-8", "-22", "-34", "-16", "986", "14726", "254894", "4849316", "111545594", "3234845654", "100280243696", "3710369065724", "152125131761756", "6541380665832806", "307444891294242896", "16294579238595018884", "961380175077106315814", "58644190679703485487146", "3929160775540133527934504", "278970415063349480483702366" ]
[ "sign" ]
16
1
1
[ "A062234", "A064819", "A360510", "A360511" ]
null
N. J. A. Sloane, Feb 24 2023
2024-11-06T10:19:58
oeisdata/seq/A360/A360510.seq
7f75b02d4114cb2b0c95bedc279be361
A360511
a(n) = Product_{i=1..n} p(i) - p(n+1)^3, where p(i) is the i-th prime.
[ "-25", "-119", "-313", "-1121", "113", "25117", "503651", "9687523", "223068481", "6469663439", "200560439477", "7420738065889", "304250263447703", "13082761331566207", "614889782588342533", "32589158477189839351", "1922760350154212412089", "117288381359406970682507", "7858321551080267055521179", "557940830126698960967026373" ]
[ "sign" ]
16
1
1
[ "A062234", "A064819", "A360510", "A360511" ]
null
N. J. A. Sloane, Feb 24 2023
2024-11-06T10:19:39
oeisdata/seq/A360/A360511.seq
b62a268ac4a0f023ea432c5bbced32b2
A360512
Total number of edges after n generations in hexagonal graph constructed in first quadrant (see Comments in A360501 for precise definition).
[ "0", "1", "2", "4", "8", "13", "19", "26", "34", "44", "54", "66", "78", "93", "107", "124", "140", "160", "178", "200", "220", "245", "267", "294", "318", "348", "374", "406", "434", "469", "499", "536", "568", "608", "642", "684", "720", "765", "803", "850", "890", "940", "982", "1034", "1078", "1133", "1179", "1236", "1284", "1344", "1394", "1456", "1508", "1573", "1627", "1694", "1750" ]
[ "nonn" ]
17
0
3
[ "A182632", "A182838", "A182840", "A360501", "A360512" ]
null
N. J. A. Sloane, Feb 09 2023
2023-02-22T18:27:07
oeisdata/seq/A360/A360512.seq
9a04e7c29d340102f49a8dadb351581b
A360513
Number of deltahedra with 2*n faces.
[ "1", "1", "2", "5", "13", "47" ]
[ "nonn", "more" ]
17
2
3
null
null
N. J. A. Sloane, Feb 27 2023
2024-12-23T14:53:46
oeisdata/seq/A360/A360513.seq
29fe0ce5da0770f33f93bd05ec0474c4
A360514
Number of 2-color vertex orderings of the labeled path graph on n vertices in which the number 1 is assigned to a vertex in an odd position.
[ "1", "1", "4", "9", "56", "185", "1632", "7217", "81664", "451089", "6241280", "41375609", "676506624", "5232134921", "98709925888", "872492313825", "18655203885056", "185503858236065", "4432984678858752", "48978641359097705", "1293646660855398400", "15722400263686662105", "454816628946740707328" ]
[ "nonn" ]
10
1
3
[ "A360514", "A360515", "A360516", "A360517" ]
null
N. J. A. Sloane, Feb 27 2023
2023-02-27T22:52:20
oeisdata/seq/A360/A360514.seq
8f466c060c8caeda0809d056f4d6690e
A360515
Number of 2-color vertex orderings of the labeled path graph on n vertices in which the number 1 is assigned to a vertex in an even position.
[ "0", "1", "2", "9", "24", "185", "720", "7217", "35840", "451089", "2741760", "41375609", "297133056", "5232134921", "43356465152", "872492313825", "8193895956480", "185503858236065", "1947095049830400", "48978641359097705", "568206904265277440", "15722400263686662105", "199768581446090883072" ]
[ "nonn" ]
12
1
3
[ "A360514", "A360515", "A360516", "A360517" ]
null
N. J. A. Sloane, Feb 27 2023
2023-02-27T22:52:15
oeisdata/seq/A360/A360515.seq
76b8cf1d184a3b6138da9afd3c871150
A360516
Number of 2-color vertex orderings of the labeled path graph on n vertices.
[ "1", "2", "6", "18", "80", "370", "2352", "14434", "117504", "902178", "8983040", "82751218", "973639680", "10464269842", "142066391040", "1744984627650", "26849099841536", "371007716472130", "6380079728689152", "97957282718195410", "1861853565120675840", "31444800527373324210", "654585210392831590400" ]
[ "nonn" ]
18
1
2
[ "A360514", "A360515", "A360516", "A360517" ]
null
N. J. A. Sloane, Feb 27 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360516.seq
7d8523841a07e744687fe3ca7d8e4c9d
A360517
Number of 2-color vertex orderings of the labeled cycle graph on 2*n vertices.
[ "0", "24", "480", "18816", "1175040", "107796480", "13630955520", "2273062256640", "483283797147648", "127601594573783040", "40960778432654868480", "15710045049427958169600", "7095139411569155034316800", "3726944074638630907382071296", "2252901869996867025766994411520", "1552830650080006456164417892515840" ]
[ "nonn", "changed" ]
18
1
2
[ "A360514", "A360515", "A360516", "A360517" ]
null
N. J. A. Sloane, Feb 27 2023
2025-07-09T05:00:04
oeisdata/seq/A360/A360517.seq
a8c747dde5df555c500384b666409f53
A360518
Numbers j such that there exists a number i <= j with the property that i+j and i*j have the same decimal digits in reverse order.
[ "2", "9", "24", "47", "497", "4997", "49997", "499997", "4999997", "49999997", "499999997", "4999999997", "49999999997", "499999999997", "4999999999997", "49999999999997", "499999999999997", "4999999999999997", "49999999999999997", "499999999999999997", "4999999999999999997", "49999999999999999997" ]
[ "nonn", "base", "easy" ]
18
1
1
[ "A276509", "A360518" ]
null
N. J. A. Sloane, Feb 27 2023
2023-03-22T08:06:33
oeisdata/seq/A360/A360518.seq
ebf3f9cec14190b3097ae48372997535
A360519
Let C consist of 1 together with all numbers with at least two distinct prime factors; this is the lexicographically earliest infinite sequence {a(n)} of distinct elements of C 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", "12", "20", "55", "33", "18", "14", "77", "99", "15", "40", "22", "143", "39", "24", "28", "91", "65", "30", "34", "119", "63", "36", "26", "221", "51", "42", "38", "95", "45", "48", "44", "187", "85", "50", "46", "69", "57", "76", "52", "117", "75", "70", "58", "87", "93", "62", "56", "105", "111", "74", "68", "153", "123", "82", "80", "115", "161", "84", "60", "145", "203", "98", "54", "129", "215", "100", "66", "141" ]
[ "nonn" ]
50
1
2
[ "A098550", "A336957", "A360519", "A361102" ]
null
Scott R. Shannon and N. J. A. Sloane, Mar 01 2023
2025-03-25T02:27:15
oeisdata/seq/A360/A360519.seq
d99a97e4977544191c34acc3814c1666
A360520
a(n) = A120963(n) + A341711(floor(n/2)).
[ "2", "3", "11", "15", "43", "57", "137", "177", "389", "495", "1003", "1257", "2421", "3003", "5515", "6771", "12011", "14631", "25143", "30399", "50931", "61197", "100161", "119643", "192051", "228255", "359839", "425631", "660623", "778119", "1190359", "1396479", "2109119", "2465439", "3679263", "4286175", "6327871", "7348719" ]
[ "nonn" ]
17
0
1
[ "A120963", "A341711", "A360520" ]
null
N. J. A. Sloane, Mar 02 2023
2023-11-16T19:06:28
oeisdata/seq/A360/A360520.seq
3d964aec1a1a057e1916f7e579aed399
A360521
a(0) = 0; for n > 0, a(n) is the smallest positive number not occurring earlier such that neither the binary string a(n-1) + a(n) nor the same string reversed appear in the binary string concatenation of a(0)..a(n-1).
[ "0", "1", "2", "3", "4", "5", "10", "6", "9", "7", "17", "15", "18", "14", "19", "13", "20", "12", "21", "11", "22", "26", "8", "24", "27", "37", "28", "23", "25", "39", "29", "35", "30", "34", "31", "33", "32", "36", "41", "44", "43", "42", "38", "62", "57", "70", "58", "69", "59", "68", "60", "67", "61", "66", "63", "64", "65", "71", "76", "52", "84", "72", "56", "80", "48", "88", "40", "96", "51", "77", "83", "45", "91", "81", "47", "89", "86" ]
[ "nonn", "look", "base", "nice" ]
40
0
3
[ "A007088", "A030302", "A118248", "A341766", "A357082", "A360521" ]
null
Scott R. Shannon, Feb 09 2023
2024-10-24T17:53:55
oeisdata/seq/A360/A360521.seq
9178ac4a8b70fc36b706d3f264f5e1d4
A360522
a(n) = Sum_{d|n} Max({d'; d'|n, gcd(d, d') = 1}).
[ "1", "3", "4", "6", "6", "12", "8", "11", "11", "18", "12", "24", "14", "24", "24", "20", "18", "33", "20", "36", "32", "36", "24", "44", "27", "42", "30", "48", "30", "72", "32", "37", "48", "54", "48", "66", "38", "60", "56", "66", "42", "96", "44", "72", "66", "72", "48", "80", "51", "81", "72", "84", "54", "90", "72", "88", "80", "90", "60", "144", "62", "96", "88", "70", "84", "144", "68" ]
[ "nonn", "mult" ]
12
1
2
[ "A000203", "A005117", "A034448", "A048691", "A065465", "A072691", "A152649", "A328485", "A330523", "A360522", "A360523" ]
null
Amiram Eldar, Feb 10 2023
2023-02-11T07:56:54
oeisdata/seq/A360/A360522.seq
25500d89f40dee6e3a7bfff7ff83d7a1
A360523
a(n) = Sum_{d|n} mu(rad(d)) * delta_d(n/d), where rad(n) = A007947(n) and delta_d(n) is the greatest divisor of n that is relatively prime to d.
[ "1", "1", "2", "2", "4", "2", "6", "5", "7", "4", "10", "4", "12", "6", "8", "12", "16", "7", "18", "8", "12", "10", "22", "10", "23", "12", "24", "12", "28", "8", "30", "27", "20", "16", "24", "14", "36", "18", "24", "20", "40", "12", "42", "20", "28", "22", "46", "24", "47", "23", "32", "24", "52", "24", "40", "30", "36", "28", "58", "16", "60", "30", "42", "58", "48", "20", "66", "32", "44", "24" ]
[ "nonn", "mult" ]
10
1
3
[ "A000010", "A000203", "A005117", "A007947", "A008683", "A047994", "A078779", "A360522", "A360523" ]
null
Amiram Eldar, Feb 10 2023
2023-02-11T07:56:49
oeisdata/seq/A360/A360523.seq
ac40edf1419904c50e4de80948262cb4
A360524
Numbers k such that A360522(k) = 2*k.
[ "6", "12", "198", "240", "264", "270", "396", "540", "6720", "7920", "11880", "13770", "27540", "221760", "337440", "605880", "2500344", "6072570", "11135520", "12145140", "267193080", "441692160", "1112629770", "2225259540", "14575841280", "48955709880" ]
[ "nonn", "more" ]
7
1
1
[ "A000203", "A000396", "A002827", "A007357", "A054979", "A322486", "A324707", "A360522", "A360524" ]
null
Amiram Eldar, Feb 10 2023
2023-02-11T02:29:03
oeisdata/seq/A360/A360524.seq
cdbf313cf04877336cd4f3db30b04211
A360525
Numbers k such that A360522(k) > 2*k.
[ "30", "42", "60", "66", "70", "78", "84", "90", "102", "114", "120", "126", "132", "138", "140", "150", "156", "168", "174", "180", "186", "204", "210", "222", "228", "246", "252", "258", "276", "282", "294", "300", "318", "330", "348", "354", "360", "366", "372", "390", "402", "420", "426", "438", "444", "462", "474", "492", "498", "510", "516", "534", "546", "564" ]
[ "nonn" ]
9
1
1
[ "A000203", "A005101", "A034683", "A064597", "A129575", "A129656", "A292982", "A308127", "A348274", "A348604", "A360522", "A360524", "A360525", "A360526" ]
null
Amiram Eldar, Feb 10 2023
2023-02-11T07:56:46
oeisdata/seq/A360/A360525.seq
a070e6eeaeff18c4469775b1e8ec9685
A360526
Odd numbers k such that A360522(k) > 2*k.
[ "15015", "19635", "21945", "23205", "25935", "26565", "31395", "33495", "33915", "35805", "39585", "41055", "42315", "42735", "45885", "47355", "49665", "50505", "51765", "54285", "55965", "58695", "61215", "64155", "68145", "70455", "72345", "77385", "80535", "82005", "83265", "84315", "91245", "95865", "102795", "112035", "116655" ]
[ "nonn" ]
9
1
1
[ "A005101", "A005231", "A094889", "A127666", "A129485", "A293186", "A321147", "A348275", "A348605", "A360522", "A360525", "A360526" ]
null
Amiram Eldar, Feb 10 2023
2023-02-11T07:56:43
oeisdata/seq/A360/A360526.seq
c0b9c1ac579d61e87d030aabf4da6152
A360527
Numbers k such that A360522(k) = A360522(k+1).
[ "4", "8", "14", "176", "895", "956", "957", "1334", "1634", "1724", "1725", "1844", "1934", "2685", "2871", "3404", "3759", "4047", "4136", "5175", "7004", "7315", "7599", "8055", "12104", "13760", "18415", "20145", "29392", "32944", "33998", "42818", "44095", "44516", "49599", "60356", "74918", "79826", "79833", "84134", "85172", "85744", "86343" ]
[ "nonn" ]
12
1
1
[ "A002961", "A064115", "A064125", "A293183", "A306985", "A360522", "A360527" ]
null
Amiram Eldar, Feb 10 2023
2023-06-10T07:32:52
oeisdata/seq/A360/A360527.seq
ed7ac976ec584f08b96ba2634362c10b
A360528
Numbers n for which the length-n prefix of the Fibonacci word (A003849) ends in a word of exponent >= (3+sqrt(5))/2.
[ "13", "14", "22", "23", "24", "26", "27", "34", "35", "36", "37", "38", "39", "40", "43", "44", "45", "47", "48", "56", "57", "58", "59", "60", "61", "62", "63", "64", "65", "66", "68", "69", "70", "71", "72", "73", "74", "77", "78", "79", "81", "82", "89", "90", "91", "92", "93", "94", "95", "96", "97", "98", "99", "100", "101", "102", "103", "104", "105", "106", "107", "108", "111" ]
[ "nonn" ]
12
1
1
[ "A003849", "A360528", "A360531", "A360532" ]
null
Jeffrey Shallit, Feb 10 2023
2023-02-10T12:55:18
oeisdata/seq/A360/A360528.seq
a9315865f37c33722315c45718033df1
A360529
a(n) is the smallest k > A024619(n) such that rad(k) = rad(A024619(n)), where rad(n) = A007947(n).
[ "12", "20", "18", "28", "45", "24", "40", "63", "44", "36", "52", "56", "60", "99", "68", "175", "48", "76", "117", "50", "84", "88", "75", "92", "54", "80", "153", "104", "72", "275", "98", "171", "116", "90", "124", "147", "325", "132", "136", "207", "140", "96", "148", "135", "152", "539", "156", "100", "164", "126", "425", "172", "261", "176", "120", "637", "184", "279", "188", "475", "108", "112", "297", "160", "204", "208" ]
[ "nonn" ]
117
1
1
[ "A001597", "A007947", "A020639", "A024619", "A065642", "A360529", "A360719" ]
null
Michael De Vlieger, May 01 2023
2023-05-19T04:24:27
oeisdata/seq/A360/A360529.seq
12dfc78657ac9f352093df9d595e1150
A360530
a(n) is the smallest positive integer k such that n can be expressed as the arithmetic mean of k nonzero squares.
[ "1", "3", "3", "1", "2", "3", "3", "3", "1", "2", "3", "3", "2", "3", "3", "1", "2", "3", "3", "2", "4", "3", "3", "3", "1", "2", "3", "3", "2", "3", "3", "3", "3", "2", "3", "1", "2", "3", "3", "2", "2", "3", "3", "3", "2", "3", "3", "3", "1", "2", "3", "2", "2", "3", "3", "3", "3", "2", "3", "3", "2", "3", "3", "1", "2", "3", "3", "2", "4", "3", "3", "3", "2", "2", "3", "3", "4", "3", "3", "2", "1", "2", "3", "4", "2", "3", "3" ]
[ "nonn", "easy" ]
92
1
2
[ "A000290", "A000378", "A000404", "A000408", "A000414", "A000534", "A047700", "A360530", "A362068", "A362110" ]
null
Yifan Xie, Apr 05 2023
2023-05-02T06:31:52
oeisdata/seq/A360/A360530.seq
a6e7f60755e01baa7f963c7d7435748d
A360531
Numbers of the form F(i)-F(j)-1, i>=5, 3<=j<=i-2.
[ "2", "4", "5", "7", "9", "10", "12", "15", "17", "18", "20", "25", "28", "30", "31", "33", "41", "46", "49", "51", "52", "54", "67", "75", "80", "83", "85", "86", "88", "109", "122", "130", "135", "138", "140", "141", "143", "177", "198", "211", "219", "224", "227", "229", "230", "232", "287", "321", "342", "355", "363", "368", "371", "373", "374", "376", "465", "520", "554" ]
[ "nonn" ]
11
1
1
[ "A000045", "A360528", "A360531", "A360532" ]
null
Jeffrey Shallit, Feb 10 2023
2023-02-10T12:55:35
oeisdata/seq/A360/A360531.seq
fdbb4f6c763371ab68a7e14d1681f241
A360532
Numbers of the form F(i)-F(2j+1), i>=5, 1<=j<=(i-3)/2.
[ "3", "6", "8", "11", "16", "19", "21", "29", "32", "42", "50", "53", "55", "76", "84", "87", "110", "131", "139", "142", "144", "199", "220", "228", "231", "288", "343", "364", "372", "375", "377", "521", "576", "597", "605", "608", "754", "898", "953", "974", "982", "985", "987", "1364", "1508", "1563", "1584", "1592", "1595", "1974", "2351", "2495", "2550", "2571", "2579" ]
[ "nonn" ]
10
1
1
[ "A000045", "A360528", "A360531", "A360532" ]
null
Jeffrey Shallit, Feb 10 2023
2023-02-10T12:56:01
oeisdata/seq/A360/A360532.seq
ee0d2873258ecd3f56f41ea965fa8b53
A360533
a(n) = index of the diagonal of the natural number array, A000027, that includes prime(n). See Comments.
[ "1", "-1", "0", "3", "4", "0", "3", "-1", "4", "7", "3", "8", "0", "-4", "7", "-5", "4", "0", "11", "3", "-1", "12", "4", "-8", "3", "-5", "-9", "12", "8", "0", "3", "-5", "16", "12", "-8", "-12", "11", "-1", "-9", "16", "4", "0", "19", "15", "7", "3", "20", "-4", "-12", "-16", "19", "7", "3", "-17", "16", "4", "-8", "-12", "23", "15", "11", "-9", "12", "4", "0", "-8", "15", "3", "-17", "-21" ]
[ "easy", "sign" ]
28
1
4
[ "A000027", "A000040", "A185787", "A191360", "A360533" ]
null
Clark Kimberling, Feb 10 2023
2023-02-22T12:35:19
oeisdata/seq/A360/A360533.seq
2a9b7891b990dabfcae51deaa3999478
A360534
Lexicographically earliest sequence of distinct prime numbers such that among each pair of consecutive terms, the decimal expansion of the smallest term appears in that of the largest term.
[ "2", "23", "3", "13", "113", "11", "211", "2111", "22111", "322111", "3221", "32213", "2213", "22133", "622133", "6221", "62213", "362213", "5362213", "5", "53", "353", "3533", "33533", "333533", "33353", "233353", "233", "2333", "23333", "323333", "3233333", "32333333", "632333333", "6323", "86323", "863", "3863", "33863", "1338637", "7" ]
[ "nonn", "base" ]
10
1
1
[ "A011557", "A030456", "A335043", "A360534" ]
null
Rémy Sigrist, Feb 10 2023
2023-02-12T10:05:53
oeisdata/seq/A360/A360534.seq
34bee815b3707e50559d6541d6b4c1a0
A360535
Analog of Rudin-Shapiro sum sequence A020986, based on counting patterns 00 instead of 11.
[ "1", "2", "3", "4", "3", "4", "5", "6", "7", "6", "7", "8", "7", "8", "9", "10", "9", "10", "9", "8", "7", "8", "9", "10", "11", "10", "11", "12", "11", "12", "13", "14", "15", "14", "15", "16", "17", "16", "15", "14", "15", "14", "15", "16", "15", "16", "17", "18", "17", "18", "17", "16", "15", "16", "17", "18", "19", "18", "19", "20", "19", "20", "21", "22", "21", "22", "21", "20", "19", "20" ]
[ "nonn" ]
20
0
2
[ "A020985", "A020990", "A360535", "A360536" ]
null
Jeffrey Shallit, Feb 10 2023
2023-02-11T02:31:32
oeisdata/seq/A360/A360535.seq
52d13bd9634d4cc2a4855203bf707865
A360536
Analog of Rudin-Shapiro sum sequence A020990, based on counting patterns 00 instead of 11.
[ "1", "0", "1", "0", "-1", "-2", "-1", "-2", "-1", "0", "1", "0", "-1", "-2", "-1", "-2", "-3", "-4", "-5", "-4", "-5", "-6", "-5", "-6", "-5", "-4", "-3", "-4", "-5", "-6", "-5", "-6", "-5", "-4", "-3", "-4", "-3", "-2", "-3", "-2", "-1", "0", "1", "0", "-1", "-2", "-1", "-2", "-3", "-4", "-5", "-4", "-5", "-6", "-5", "-6", "-5", "-4", "-3", "-4", "-5", "-6", "-5", "-6", "-7", "-8", "-9" ]
[ "sign" ]
11
0
6
[ "A020985", "A020990", "A360535", "A360536" ]
null
Jeffrey Shallit, Feb 10 2023
2023-02-11T02:31:19
oeisdata/seq/A360/A360536.seq
23cbf4a267f362398bc9d6a98dc091d2
A360537
Areas of primitive Heron triangles with two rational medians from the infinite family based on Somos-5 sequences.
[ "420", "55440", "23931600", "142334216640", "2137147184560080", "4323341954766548553840", "18705358317240372854759881380", "1333577710124626249998068999458413600", "248363720675646323338068819310182950300884320", "4199805494977793853528867974891927438920668319491840" ]
[ "nonn" ]
9
1
1
[ "A006721", "A223941", "A360381", "A360537" ]
null
Andrey Zabolotskiy, Feb 10 2023
2024-04-07T05:31:42
oeisdata/seq/A360/A360537.seq
201d03d59a7ee90a78abf3d2105d50fa
A360538
Number of multisets of n nonzero digits such that sum(digits) > product(digits).
[ "0", "0", "9", "10", "11", "12", "15", "16", "18", "20", "22", "23", "25", "26", "29", "30", "31", "32", "35", "36", "38", "39", "41", "42", "44", "44", "47", "50", "51", "52", "54", "55", "56", "57", "60", "60", "60", "61", "63", "64", "65", "67", "70", "71", "73", "73", "74", "75", "77", "77", "78", "80", "81", "82", "84", "85", "86", "87", "89", "90", "91", "92", "95", "96", "97", "98", "101", "101" ]
[ "nonn", "look", "base" ]
43
0
3
[ "A052382", "A360538", "A360971", "A360972" ]
null
Charles Bershatsky, Feb 10 2023
2023-02-27T15:28:18
oeisdata/seq/A360/A360538.seq
f077212bf16900e97e39c9f998252ad3
A360539
a(n) is the cubefree part of n: the largest unitary divisor of n that is a cubefree number (A004709).
[ "1", "2", "3", "4", "5", "6", "7", "1", "9", "10", "11", "12", "13", "14", "15", "1", "17", "18", "19", "20", "21", "22", "23", "3", "25", "26", "1", "28", "29", "30", "31", "1", "33", "34", "35", "36", "37", "38", "39", "5", "41", "42", "43", "44", "45", "46", "47", "3", "49", "50", "51", "52", "53", "2", "55", "7", "57", "58", "59", "60", "61", "62", "63", "1", "65", "66", "67", "68", "69", "70" ]
[ "nonn", "easy", "mult" ]
17
1
2
[ "A004709", "A007948", "A036966", "A055231", "A360539", "A360540" ]
null
Amiram Eldar, Feb 11 2023
2024-08-06T02:04:32
oeisdata/seq/A360/A360539.seq
9730912b3b9a9d6800a3aa4ce0684505
A360540
a(n) is the cubefull part of n: the largest divisor of n that is a cubefull number (A036966).
[ "1", "1", "1", "1", "1", "1", "1", "8", "1", "1", "1", "1", "1", "1", "1", "16", "1", "1", "1", "1", "1", "1", "1", "8", "1", "1", "27", "1", "1", "1", "1", "32", "1", "1", "1", "1", "1", "1", "1", "8", "1", "1", "1", "1", "1", "1", "1", "16", "1", "1", "1", "1", "1", "27", "1", "8", "1", "1", "1", "1", "1", "1", "1", "64", "1", "1", "1", "1", "1", "1", "1", "8", "1", "1", "1", "1", "1", "1", "1", "16", "81", "1", "1", "1", "1" ]
[ "nonn", "easy", "mult" ]
13
1
8
[ "A004709", "A036966", "A057521", "A360539", "A360540" ]
null
Amiram Eldar, Feb 11 2023
2023-02-12T17:27:47
oeisdata/seq/A360/A360540.seq
4bc836708ba0bcfbecaa8d72667f3620
A360541
a(n) is the least number k such that k*n is a cubefull number (A036966).
[ "1", "4", "9", "2", "25", "36", "49", "1", "3", "100", "121", "18", "169", "196", "225", "1", "289", "12", "361", "50", "441", "484", "529", "9", "5", "676", "1", "98", "841", "900", "961", "1", "1089", "1156", "1225", "6", "1369", "1444", "1521", "25", "1681", "1764", "1849", "242", "75", "2116", "2209", "9", "7", "20", "2601", "338", "2809", "4", "3025", "49", "3249", "3364" ]
[ "nonn", "easy", "mult" ]
9
1
2
[ "A036966", "A329376", "A356193", "A360539", "A360541" ]
null
Amiram Eldar, Feb 11 2023
2023-02-12T01:46:49
oeisdata/seq/A360/A360541.seq
b39a5d7d8b7ca61e1f7652f1d1740d47
A360542
Primes prime(k) such that ( 9*(prime(k-1) - prime(k-2)) ) | (prime(k)^3 + 1).
[ "5", "11", "17", "23", "47", "71", "107", "113", "131", "149", "179", "191", "197", "233", "239", "251", "269", "293", "311", "317", "353", "359", "431", "467", "479", "503", "521", "557", "647", "683", "719", "797", "809", "821", "827", "839", "857", "863", "881", "887", "947", "953", "971", "1019", "1031", "1061", "1097", "1103", "1151", "1163", "1223", "1259" ]
[ "nonn" ]
17
1
1
[ "A000040", "A030078", "A360542" ]
null
Najeem Ziauddin, Feb 11 2023
2023-03-05T12:10:23
oeisdata/seq/A360/A360542.seq
538def7a2ff5dfcaac652dd05ef3b676
A360543
a(n) = number of numbers k < n, gcd(k, n) > 1, such that omega(k) > omega(n) and rad(n) | rad(k), where omega(n) = A001221(n) and rad(n) = A007947(n).
[ "0", "0", "0", "0", "0", "0", "0", "1", "1", "0", "0", "0", "0", "0", "0", "4", "0", "0", "0", "0", "0", "0", "0", "0", "3", "0", "6", "0", "0", "0", "0", "11", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "0", "1", "0", "0", "2", "5", "1", "0", "0", "0", "2", "0", "1", "0", "0", "0", "0", "0", "0", "1", "26", "0", "0", "0", "0", "0", "0", "0", "4", "0", "0", "2", "0", "0", "0", "0", "3", "23", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "7", "0", "3", "1", "4" ]
[ "nonn" ]
47
1
16
[ "A000005", "A000010", "A001221", "A007947", "A010846", "A045763", "A051953", "A243822", "A243823", "A246547", "A272619", "A360480", "A360543", "A360765" ]
null
Michael De Vlieger, Mar 06 2023
2023-03-14T06:39:49
oeisdata/seq/A360/A360543.seq
0b33062db90dfd727747e965ad16d65a
A360544
E.g.f. satisfies A(x) = exp( x * ( exp(x) * A(x) )^(3/2) ).
[ "1", "1", "7", "73", "1117", "22741", "580159", "17826985", "641494249", "26473635865", "1232945359111", "63978649829161", "3660871368065509", "229016870623703917", "15550838554432967647", "1139139301403727884521", "89544381521098908259729", "7518611017848248249471089" ]
[ "nonn" ]
25
0
3
[ "A273953", "A273954", "A360473", "A360544", "A360545", "A360547" ]
null
Seiichi Manyama, Feb 11 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360544.seq
04cf19a352e0f188e4972fe5eb73f563
A360545
E.g.f. satisfies A(x) = x * exp( 3*(x + A(x))/2 ).
[ "0", "1", "6", "54", "756", "14580", "358668", "10736712", "378823392", "15395255280", "708217959600", "36380741745744", "2064234271203360", "128214974795177088", "8652900673357097472", "630483717450225530880", "49330027417316557012992", "4124992361928178722764544" ]
[ "nonn" ]
19
0
3
[ "A100526", "A216857", "A360482", "A360544", "A360545", "A360548" ]
null
Seiichi Manyama, Feb 11 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360545.seq
823ff89522666660a76d032fd0a14096
A360546
Triangle read by rows: T(n, m) = (n+1-m)*C(2*n+2-m, m)*C(3*n-3*m+2, n-m+1)/(2*n-m+2).
[ "1", "5", "2", "28", "20", "3", "165", "168", "50", "4", "1001", "1320", "588", "100", "5", "6188", "10010", "5940", "1568", "175", "6", "38760", "74256", "55055", "19800", "3528", "280", "7", "245157", "542640", "482664", "220220", "54450", "7056", "420", "8", "1562275", "3922512", "4069800", "2252432", "715715", "130680", "12936", "600", "9" ]
[ "nonn", "tabl" ]
22
0
2
[ "A025174", "A134481", "A360546" ]
null
Vladimir Kruchinin, Feb 11 2023
2023-02-12T04:53:44
oeisdata/seq/A360/A360546.seq
8d9e961281971abd499a38e184867964
A360547
E.g.f. satisfies A(x) = exp( x * ( exp(x) * A(x) )^2 ).
[ "1", "1", "9", "121", "2417", "64721", "2180665", "88719625", "4233968737", "231991022881", "14356691152361", "990506937621785", "75390334060230865", "6275675303410022641", "567191776288882702105", "55313848534122299876521", "5789703106014903009828545", "647414950001156861671249985" ]
[ "nonn" ]
23
0
3
[ "A273953", "A273954", "A360465", "A360473", "A360544", "A360547" ]
null
Seiichi Manyama, Feb 11 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360547.seq
03f4ca61c10a3184d91c3dd0ef950044
A360548
E.g.f. satisfies A(x) = x * exp( 2*(x + A(x)) ).
[ "0", "1", "8", "96", "1792", "46080", "1511424", "60325888", "2837970944", "153778913280", "9432255692800", "646039266656256", "48874810528235520", "4047655951598092288", "364221261622538141696", "35384754572803304325120", "3691411033400626898796544", "411569264258973944034361344" ]
[ "nonn" ]
18
0
3
[ "A038049", "A100526", "A201595", "A214225", "A216857", "A360545", "A360547", "A360548" ]
null
Seiichi Manyama, Feb 11 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360548.seq
188b4e80c6ccd4ecbe7d1557a01d6ece
A360549
a(n) is the least prime p not already in the sequence such that a(n-1) + p is a triprime; a(1) = 2.
[ "2", "43", "7", "5", "3", "17", "11", "19", "23", "29", "13", "31", "37", "41", "61", "53", "71", "59", "79", "103", "67", "47", "83", "89", "97", "73", "101", "137", "107", "131", "113", "109", "127", "139", "151", "167", "149", "173", "181", "157", "197", "191", "163", "193", "211", "199", "227", "179", "223", "229", "241", "233", "349", "257", "251", "283", "307", "271", "263", "293", "281", "317", "239", "269", "313" ]
[ "nonn" ]
38
1
1
[ "A014612", "A353408", "A360549" ]
null
Zak Seidov and Robert Israel, Mar 04 2023
2025-03-11T23:33:29
oeisdata/seq/A360/A360549.seq
bc150edf2c71179df64a9d6ff1323ca7
A360550
Numbers > 1 whose distinct prime indices have integer median.
[ "2", "3", "4", "5", "7", "8", "9", "10", "11", "13", "16", "17", "19", "20", "21", "22", "23", "25", "27", "29", "30", "31", "32", "34", "37", "39", "40", "41", "42", "43", "44", "46", "47", "49", "50", "53", "55", "57", "59", "60", "61", "62", "63", "64", "66", "67", "68", "70", "71", "73", "78", "79", "80", "81", "82", "83", "84", "85", "87", "88", "89", "90", "91", "92", "94", "97", "100" ]
[ "nonn" ]
11
1
1
[ "A000975", "A001221", "A001222", "A026424", "A056239", "A063655", "A066328", "A072978", "A100367", "A112798", "A139710", "A139711", "A304038", "A307683", "A316413", "A325347", "A326619", "A326620", "A326621", "A359893", "A359901", "A359902", "A359907", "A359908", "A359912", "A359913", "A360005", "A360006", "A360009", "A360248", "A360453", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360552", "A360553", "A360554", "A360555", "A360556", "A360557", "A360686" ]
null
Gus Wiseman, Feb 14 2023
2023-02-16T09:44:48
oeisdata/seq/A360/A360550.seq
127d4bef2ee188d67bb1d3f1d9d38878
A360551
Numbers > 1 whose distinct prime indices have non-integer median.
[ "6", "12", "14", "15", "18", "24", "26", "28", "33", "35", "36", "38", "45", "48", "51", "52", "54", "56", "58", "65", "69", "72", "74", "75", "76", "77", "86", "93", "95", "96", "98", "99", "104", "106", "108", "112", "116", "119", "122", "123", "135", "141", "142", "143", "144", "145", "148", "152", "153", "158", "161", "162", "172", "175", "177", "178", "185", "192", "196" ]
[ "nonn" ]
7
1
1
[ "A000975", "A001221", "A001222", "A026424", "A056239", "A063655", "A066328", "A072978", "A100367", "A112798", "A139710", "A139711", "A304038", "A307683", "A316413", "A325347", "A326619", "A326620", "A326621", "A348551", "A359893", "A359901", "A359902", "A359907", "A359908", "A359912", "A359913", "A360005", "A360006", "A360009", "A360248", "A360453", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360552", "A360553", "A360554", "A360555", "A360556", "A360557", "A360686" ]
null
Gus Wiseman, Feb 16 2023
2023-02-16T09:44:43
oeisdata/seq/A360/A360551.seq
57674b3d8ee325d594af956a1d659704
A360552
Numbers > 1 whose distinct prime factors have integer median.
[ "2", "3", "4", "5", "7", "8", "9", "11", "13", "15", "16", "17", "19", "21", "23", "25", "27", "29", "30", "31", "32", "33", "35", "37", "39", "41", "42", "43", "45", "47", "49", "51", "53", "55", "57", "59", "60", "61", "63", "64", "65", "66", "67", "69", "70", "71", "73", "75", "77", "78", "79", "81", "83", "84", "85", "87", "89", "90", "91", "93", "95", "97", "99", "101", "102", "103" ]
[ "nonn" ]
5
1
1
[ "A000975", "A001221", "A001222", "A026424", "A027746", "A027748", "A056239", "A063655", "A072978", "A078174", "A078175", "A100367", "A112798", "A139710", "A139711", "A175352", "A176587", "A304038", "A307683", "A316413", "A323171", "A323172", "A325347", "A326619", "A326620", "A326621", "A359893", "A359901", "A359902", "A359907", "A359908", "A359912", "A359913", "A360005", "A360009", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360552", "A360553", "A360554", "A360555", "A360556", "A360557" ]
null
Gus Wiseman, Feb 16 2023
2023-02-16T13:41:53
oeisdata/seq/A360/A360552.seq
3efbe23ee6fa0a8a3329f081ade57028
A360553
Numbers > 1 whose unordered prime signature has integer median.
[ "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "13", "14", "15", "16", "17", "19", "21", "22", "23", "24", "25", "26", "27", "29", "30", "31", "32", "33", "34", "35", "36", "37", "38", "39", "40", "41", "42", "43", "46", "47", "49", "51", "53", "54", "55", "56", "57", "58", "59", "60", "61", "62", "64", "65", "66", "67", "69", "70", "71", "73", "74", "77", "78", "79", "81", "82", "83" ]
[ "nonn" ]
8
1
1
[ "A000975", "A001222", "A026424", "A056239", "A063655", "A067340", "A070011", "A072978", "A078174", "A078175", "A100367", "A112798", "A124010", "A139710", "A139711", "A307683", "A316413", "A325347", "A326621", "A359893", "A359901", "A359902", "A359907", "A359908", "A359912", "A359913", "A360005", "A360453", "A360454", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360552", "A360553", "A360554", "A360555", "A360556", "A360557", "A360687" ]
null
Gus Wiseman, Feb 16 2023
2023-02-16T13:41:49
oeisdata/seq/A360/A360553.seq
084d3295be67027bd9b6f022fd5e74cd
A360554
Numbers > 1 whose unordered prime signature has non-integer median.
[ "12", "18", "20", "28", "44", "45", "48", "50", "52", "63", "68", "72", "75", "76", "80", "92", "98", "99", "108", "112", "116", "117", "124", "147", "148", "153", "162", "164", "171", "172", "175", "176", "188", "192", "200", "207", "208", "212", "236", "242", "244", "245", "261", "268", "272", "275", "279", "284", "288", "292", "304", "316", "320", "325", "332", "333" ]
[ "nonn" ]
5
1
1
[ "A000975", "A001222", "A026424", "A030231", "A056239", "A063655", "A070011", "A072978", "A100367", "A112798", "A139710", "A139711", "A304038", "A307683", "A316413", "A325347", "A326619", "A326620", "A326621", "A348551", "A359893", "A359901", "A359902", "A359907", "A359908", "A359912", "A359913", "A360005", "A360006", "A360009", "A360248", "A360453", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360552", "A360553", "A360554", "A360555", "A360556", "A360557", "A360687" ]
null
Gus Wiseman, Feb 16 2023
2023-02-18T15:29:11
oeisdata/seq/A360/A360554.seq
b5e227da737771b507eafa952e764466
A360555
Two times the median of the first differences of the 0-prepended prime indices of n > 1.
[ "2", "4", "1", "6", "2", "8", "0", "2", "3", "10", "2", "12", "4", "3", "0", "14", "2", "16", "2", "4", "5", "18", "1", "3", "6", "0", "2", "20", "2", "22", "0", "5", "7", "4", "1", "24", "8", "6", "1", "26", "2", "28", "2", "2", "9", "30", "0", "4", "2", "7", "2", "32", "1", "5", "1", "8", "10", "34", "2", "36", "11", "4", "0", "6", "2", "38", "2", "9", "2", "40", "0", "42", "12", "2", "2", "5", "2", "44", "0", "0" ]
[ "nonn" ]
5
2
1
[ "A000975", "A001222", "A026424", "A056239", "A063655", "A112798", "A287352", "A307683", "A325347", "A326567", "A326568", "A359893", "A359901", "A359902", "A359907", "A359908", "A359912", "A360005", "A360254", "A360457", "A360458", "A360459", "A360460", "A360550", "A360555", "A360556", "A360557", "A360558", "A360614", "A360615" ]
null
Gus Wiseman, Feb 14 2023
2023-02-15T21:48:27
oeisdata/seq/A360/A360555.seq
6ce2cd2c99a5b48541d434d67eb38a62
A360556
Numbers > 1 whose first differences of 0-prepended prime indices have integer median.
[ "2", "3", "5", "6", "7", "8", "9", "11", "12", "13", "14", "16", "17", "18", "19", "20", "21", "23", "26", "27", "28", "29", "30", "31", "32", "35", "37", "38", "39", "41", "42", "43", "44", "45", "47", "48", "49", "50", "52", "53", "57", "58", "59", "60", "61", "63", "64", "65", "66", "67", "68", "70", "71", "72", "73", "74", "75", "76", "78", "79", "80", "81", "83", "84", "86", "87", "89" ]
[ "nonn" ]
9
1
1
[ "A000975", "A001222", "A026424", "A056239", "A063655", "A072978", "A078175", "A100367", "A112798", "A139710", "A139711", "A307683", "A316413", "A325347", "A340610", "A359893", "A359901", "A359902", "A359907", "A359908", "A359912", "A359913", "A360005", "A360009", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360552", "A360553", "A360554", "A360555", "A360556", "A360557", "A360558", "A360614", "A360615", "A360669", "A360681", "A360688" ]
null
Gus Wiseman, Feb 16 2023
2023-02-16T13:41:44
oeisdata/seq/A360/A360556.seq
b0fd51a8ac20e1eaefe19e80945d6f2e
A360557
Numbers > 1 whose sorted first differences of 0-prepended prime indices have non-integer median.
[ "4", "10", "15", "22", "24", "25", "33", "34", "36", "40", "46", "51", "54", "55", "56", "62", "69", "77", "82", "85", "88", "93", "94", "100", "104", "115", "118", "119", "121", "123", "134", "135", "136", "141", "146", "152", "155", "161", "166", "177", "184", "187", "194", "196", "201", "205", "206", "217", "218", "219", "220", "221", "225", "232", "235", "240", "248" ]
[ "nonn" ]
7
1
1
[ "A000975", "A001222", "A026424", "A056239", "A063655", "A072978", "A078175", "A100367", "A112798", "A139710", "A139711", "A168659", "A200727", "A287352", "A307683", "A316413", "A325347", "A340610", "A355536", "A359893", "A359901", "A359902", "A359908", "A359912", "A359913", "A360005", "A360009", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360552", "A360553", "A360554", "A360555", "A360556", "A360557", "A360558", "A360614", "A360615", "A360668", "A360669", "A360681", "A360688", "A360691" ]
null
Gus Wiseman, Feb 17 2023
2023-02-18T20:49:37
oeisdata/seq/A360/A360557.seq
c8681702f5904be84c0afc55c6744312
A360558
Numbers whose multiset of prime factors (or indices, see A112798) has more adjacent equalities (or parts that have appeared before) than distinct parts.
[ "8", "16", "27", "32", "48", "64", "72", "80", "81", "96", "108", "112", "125", "128", "144", "160", "162", "176", "192", "200", "208", "216", "224", "243", "256", "272", "288", "304", "320", "324", "343", "352", "368", "384", "392", "400", "405", "416", "432", "448", "464", "480", "486", "496", "500", "512", "544", "567", "576", "592", "608", "625", "640", "648" ]
[ "nonn" ]
6
1
1
[ "A000975", "A001222", "A027193", "A056239", "A067340", "A067801", "A112798", "A237363", "A317090", "A326567", "A326568", "A360005", "A360248", "A360249", "A360254", "A360454", "A360555", "A360556", "A360558" ]
null
Gus Wiseman, Feb 20 2023
2023-02-21T23:24:39
oeisdata/seq/A360/A360558.seq
426648b88fd9154ffe81da28e35af41e
A360559
Alternating partial sum of A006530.
[ "1", "-1", "2", "0", "5", "2", "9", "7", "10", "5", "16", "13", "26", "19", "24", "22", "39", "36", "55", "50", "57", "46", "69", "66", "71", "58", "61", "54", "83", "78", "109", "107", "118", "101", "108", "105", "142", "123", "136", "131", "172", "165", "208", "197", "202", "179", "226", "223", "230", "225", "242", "229", "282", "279", "290", "283", "302", "273", "332", "327", "388", "357", "364", "362" ]
[ "sign" ]
10
1
3
[ "A006530", "A046670", "A360559" ]
null
Luca Onnis, Feb 11 2023
2023-02-25T21:34:14
oeisdata/seq/A360/A360559.seq
0cc6c502768cd221044220aa117c02b7
A360560
Triangle read by rows. T(n, k) = (1/2) * C(n, k) * C(3*n - 1, n) for n > 0 and T(0, 0) = 1.
[ "1", "1", "1", "5", "10", "5", "28", "84", "84", "28", "165", "660", "990", "660", "165", "1001", "5005", "10010", "10010", "5005", "1001", "6188", "37128", "92820", "123760", "92820", "37128", "6188", "38760", "271320", "813960", "1356600", "1356600", "813960", "271320", "38760", "245157", "1961256", "6864396", "13728792", "17160990", "13728792", "6864396", "1961256", "245157" ]
[ "nonn", "tabl" ]
34
0
4
[ "A025174", "A090763", "A360546", "A360560" ]
null
Vladimir Kruchinin, Feb 11 2023
2023-02-14T08:56:57
oeisdata/seq/A360/A360560.seq
ea11bff1ec8c79068c2f8b1c2eff03ed
A360561
a(n) is the least multiple of n that is a Zumkeller number (A083207).
[ "6", "6", "6", "12", "20", "6", "28", "24", "54", "20", "66", "12", "78", "28", "30", "48", "102", "54", "114", "20", "42", "66", "138", "24", "150", "78", "54", "28", "174", "30", "186", "96", "66", "102", "70", "108", "222", "114", "78", "40", "246", "42", "258", "88", "90", "138", "282", "48", "294", "150", "102", "104", "318", "54", "220", "56", "114", "174", "354", "60" ]
[ "nonn" ]
13
1
1
[ "A083207", "A360561", "A360562" ]
null
Rémy Sigrist, Feb 11 2023
2023-02-14T12:54:49
oeisdata/seq/A360/A360561.seq
469e891fd3ffbc57463fe1ce2f258098
A360562
a(n) is the least k such that k*n is a Zumkeller number (A083207).
[ "6", "3", "2", "3", "4", "1", "4", "3", "6", "2", "6", "1", "6", "2", "2", "3", "6", "3", "6", "1", "2", "3", "6", "1", "6", "3", "2", "1", "6", "1", "6", "3", "2", "3", "2", "3", "6", "3", "2", "1", "6", "1", "6", "2", "2", "3", "6", "1", "6", "3", "2", "2", "6", "1", "4", "1", "2", "3", "6", "1", "6", "3", "2", "3", "4", "1", "6", "3", "2", "1", "6", "3", "6", "3", "2", "3", "4", "1", "6", "1", "6", "3", "6", "1", "4", "3", "2" ]
[ "nonn" ]
7
1
1
[ "A083207", "A360561", "A360562" ]
null
Rémy Sigrist, Feb 11 2023
2023-02-13T12:46:30
oeisdata/seq/A360/A360562.seq
6c61695263e79d9986e5aaa345cd2a3f
A360563
Number of ordered multisets of size n with elements from [n] whose element sum is larger than the product of all elements.
[ "0", "0", "3", "10", "31", "71", "171", "288", "505", "985", "1471", "2036", "3455", "5136", "8009", "11376", "14261", "17613", "24073", "34429", "60706", "76196", "92324", "108538", "144947", "167151", "201501", "309115", "452026", "543635", "649137", "928947", "1059705", "1250129", "1634194", "1838908", "2084398", "2331001", "2628518" ]
[ "nonn" ]
32
0
3
[ "A360563", "A360971" ]
null
Alois P. Heinz, Feb 27 2023
2023-02-27T17:05:12
oeisdata/seq/A360/A360563.seq
24149b6c94ccec858c290b5dd0d63f22
A360564
Numerators of breadth-first numerator-denominator-incrementing enumeration of rationals in (0,1).
[ "1", "1", "1", "2", "1", "1", "2", "1", "3", "1", "2", "4", "1", "3", "1", "2", "3", "4", "1", "5", "1", "2", "5", "6", "1", "3", "5", "3", "1", "2", "4", "1", "3", "5", "1", "2", "3", "4", "5", "6", "1", "5", "7", "1", "2", "5", "6", "7", "8", "1", "3", "7", "9", "1", "2", "4", "8", "10", "1", "3", "5", "9", "5", "1", "2", "3", "4", "5", "6", "9", "10", "1", "5", "7", "11", "1", "2", "6", "7", "8", "11", "12", "1", "3", "3", "7", "4", "9", "11" ]
[ "frac", "nonn", "tabf" ]
18
1
4
[ "A007305", "A007306", "A293247", "A360564", "A360565", "A360566" ]
null
Glen Whitney, Feb 11 2023
2023-02-12T10:00:34
oeisdata/seq/A360/A360564.seq
31e8fda349c95bb703bf8bd4df76cbaa
A360565
Denominators of breadth-first numerator-denominator-incrementing enumeration of rationals in (0,1).
[ "2", "3", "4", "3", "5", "6", "5", "7", "5", "8", "7", "5", "9", "7", "10", "9", "8", "7", "11", "7", "12", "11", "8", "7", "13", "11", "9", "4", "14", "13", "11", "15", "13", "11", "16", "15", "14", "13", "12", "11", "17", "13", "11", "18", "17", "14", "13", "12", "11", "19", "17", "13", "11", "20", "19", "17", "13", "11", "21", "19", "17", "13", "6", "22", "21", "20", "19", "18", "17", "14", "13", "23", "19", "17", "13", "24", "23", "19", "18", "17", "14", "13", "25", "23", "10", "19", "9", "17", "15" ]
[ "frac", "nonn", "tabf", "look" ]
16
1
1
[ "A007305", "A007306", "A293248", "A360564", "A360565", "A360566" ]
null
Glen Whitney, Feb 11 2023
2023-02-12T10:02:10
oeisdata/seq/A360/A360565.seq
18c1474d132137e4f7d9654b67618013
A360566
Level sizes of numerator-denominator-incrementing tree of rationals in (0,1).
[ "1", "1", "2", "1", "2", "2", "3", "2", "4", "2", "4", "4", "3", "3", "6", "3", "6", "4", "5", "5", "8", "4", "7", "7", "7", "5", "10", "4", "8", "8", "11", "8", "11", "6", "12", "12", "11", "6", "12", "7", "12", "10", "14", "10", "18", "7", "12", "12", "13", "11", "20", "9", "14", "11", "15", "13", "22", "8", "16", "18", "17", "14", "19", "9", "18", "14", "19", "12", "24", "11", "22", "22", "19", "15", "24", "12", "24", "18", "27", "22", "36", "12", "19", "23" ]
[ "nonn" ]
17
3
3
[ "A007305", "A007306", "A360564", "A360565", "A360566" ]
null
Glen Whitney, Feb 11 2023
2023-02-15T15:36:30
oeisdata/seq/A360/A360566.seq
2ecd1030a656b39cd9b910dbf4fcffac
A360567
Primes p such that the nearest integer to sqrt(p) is also prime.
[ "3", "5", "7", "11", "23", "29", "43", "47", "53", "113", "127", "131", "157", "163", "167", "173", "179", "181", "277", "281", "283", "293", "347", "349", "353", "359", "367", "373", "379", "509", "521", "523", "541", "547", "821", "823", "827", "829", "839", "853", "857", "859", "863", "937", "941", "947", "953", "967", "971", "977", "983", "991", "1361" ]
[ "nonn" ]
28
1
1
[ "A000194", "A248170", "A360567" ]
null
Rhys Feltman, Feb 11 2023
2023-03-29T15:38:44
oeisdata/seq/A360/A360567.seq
501a2bc3732ccd8e8f17f0ac72c18f88
A360568
Number of divisors d of n such that n - d is not square.
[ "0", "0", "1", "2", "0", "2", "1", "2", "2", "2", "1", "4", "1", "3", "3", "4", "0", "3", "1", "4", "3", "3", "1", "6", "2", "2", "3", "5", "1", "6", "1", "4", "3", "3", "3", "8", "0", "2", "2", "6", "1", "6", "1", "5", "4", "3", "1", "8", "2", "3", "3", "5", "1", "6", "3", "6", "3", "3", "1", "11", "1", "3", "5", "6", "2", "6", "1", "4", "3", "7", "1", "9", "1", "3", "5", "5", "3", "7", "1", "8", "4", "2", "1", "10", "3", "3", "3", "7", "1", "10", "3", "5", "3", "3", "3", "10", "1", "4", "5", "8" ]
[ "nonn" ]
21
1
4
[ "A000037", "A027750", "A360017", "A360568" ]
null
Juri-Stepan Gerasimov, Feb 12 2023
2023-02-26T03:32:37
oeisdata/seq/A360/A360568.seq
35c43b1da3df20125a1e7f77b23de5a3
A360569
a(n) = floor(Product_{k=1..n} log(prime(k))).
[ "0", "0", "1", "2", "5", "14", "41", "122", "383", "1291", "4436", "16019", "59491", "223758", "861503", "3420420", "13946890", "57333909", "241071466", "1027610488", "4408921123", "19264550934", "85126979960", "382104058297", "1748015630423", "8067302799724", "37389762142708", "174715958654122", "819653342623652" ]
[ "nonn" ]
4
1
4
[ "A056690", "A360569" ]
null
Vaclav Kotesovec, Feb 12 2023
2023-02-12T06:21:42
oeisdata/seq/A360/A360569.seq
1ae678a006081adaaf6b3324f2d766b2
A360570
Numbers m such that m concatenated with k produces a cube for some 0 <= k <= m.
[ "6", "12", "21", "34", "49", "51", "58", "68", "72", "92", "100", "106", "121", "133", "138", "156", "172", "175", "195", "196", "219", "243", "262", "274", "297", "327", "337", "359", "373", "405", "409", "428", "466", "491", "506", "531", "548", "551", "583", "593", "614", "658", "681", "685", "689", "740", "753", "778", "800", "804", "830", "851", "857", "884" ]
[ "nonn", "base" ]
36
1
1
[ "A243092", "A245631", "A360570" ]
null
Chai Wah Wu, Feb 20 2023
2023-03-01T14:29:04
oeisdata/seq/A360/A360570.seq
37f127ef9df9af88d514282bab8b8f13
A360571
Triangle read by rows: T(n,k) is the k-th Lie-Betti number of the path graph on n-vertices, n >= 1, 0 <= k <= 2*n - 1.
[ "1", "1", "1", "2", "2", "1", "1", "3", "6", "6", "3", "1", "1", "4", "11", "16", "16", "11", "4", "1", "1", "5", "17", "33", "48", "48", "33", "17", "5", "1", "1", "6", "24", "58", "107", "140", "140", "107", "58", "24", "6", "1", "1", "7", "32", "92", "203", "329", "424", "424", "329", "203", "92", "32", "7", "1", "1", "8", "41", "136", "347", "668", "1039", "1280", "1280", "1039", "668", "347", "136", "41", "8", "1" ]
[ "nonn", "tabf" ]
61
1
4
[ "A063782", "A088459", "A360571", "A360572", "A360625", "A360937", "A360938" ]
null
Samuel J. Bevins, Feb 12 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360571.seq
8018e57996ec034ab1ddad6f72177ac9
A360572
Triangle read by rows: T(n,k) is the k-th Lie-Betti number of the cycle graph on n vertices, n >= 3, 0 <= k <= 2*n.
[ "1", "3", "8", "12", "8", "3", "1", "1", "4", "14", "25", "28", "25", "14", "4", "1", "1", "5", "20", "41", "70", "90", "70", "41", "20", "5", "1", "1", "6", "27", "68", "146", "219", "238", "219", "146", "68", "27", "6", "1", "1", "7", "35", "105", "259", "449", "644", "756", "644", "449", "259", "105", "35", "7", "1", "1", "8", "44", "152", "422", "857", "1476", "2012", "2172", "2012", "1476", "857", "422", "152", "44", "8", "1" ]
[ "nonn", "tabf" ]
43
3
2
[ "A088459", "A360571", "A360572", "A360625", "A360936", "A360937" ]
null
Samuel J. Bevins, Feb 12 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360572.seq
e690c90d81c13a7a1bbe7b8d87e2cf3b
A360573
Odd numbers with exactly three zeros in their binary expansion.
[ "17", "35", "37", "41", "49", "71", "75", "77", "83", "85", "89", "99", "101", "105", "113", "143", "151", "155", "157", "167", "171", "173", "179", "181", "185", "199", "203", "205", "211", "213", "217", "227", "229", "233", "241", "287", "303", "311", "315", "317", "335", "343", "347", "349", "359", "363", "365", "371", "373", "377", "399", "407", "411", "413" ]
[ "nonn", "base" ]
56
1
1
[ "A000225", "A005408", "A023416", "A052996", "A056557", "A171389", "A190620", "A198276", "A333516", "A353654", "A357773", "A360010", "A360573", "A360574" ]
null
Bernard Schott, Feb 12 2023
2025-06-16T23:49:08
oeisdata/seq/A360/A360573.seq
0ba65290cdb42d92144c14db23d3212a
A360574
Binary expansions of odd numbers with three zeros in their binary expansion.
[ "10001", "100011", "100101", "101001", "110001", "1000111", "1001011", "1001101", "1010011", "1010101", "1011001", "1100011", "1100101", "1101001", "1110001", "10001111", "10010111", "10011011", "10011101", "10100111", "10101011", "10101101", "10110011", "10110101", "10111001", "11000111", "11001011", "11001101", "11010011", "11010101", "11011001", "11100011" ]
[ "nonn", "base" ]
25
1
1
[ "A000042", "A000292", "A007088", "A190619", "A357774", "A360573", "A360574" ]
null
Bernard Schott, Feb 18 2023
2023-02-22T08:08:07
oeisdata/seq/A360/A360574.seq
fdf7c46db9e131b667423e07c2f6b605
A360575
Number of 3-dimensional tilings of a 2 X 2 X n box using 1 X 1 X 1 cubes, 2 X 1 X 1 dominos and 2 X 2 X 1 plates.
[ "1", "8", "153", "2470", "41571", "693850", "11602579", "193942076", "3242104149", "54196828452", "905988148597", "15145052657186", "253174020910071", "4232212575080006", "70748267813548207", "1182671546039152712", "19770264765434877913", "330491902143708738464" ]
[ "nonn" ]
7
0
2
[ "A001045", "A006253", "A033516", "A335559", "A359884", "A359885", "A360064", "A360065", "A360575", "A360576", "A360577" ]
null
Gerhard Kirchner, Feb 12 2023
2023-02-13T03:10:50
oeisdata/seq/A360/A360575.seq
826ca32882698033e0243205c3d719f4
A360576
Number of 3-dimensional tilings of a 2 X 2 X n box using 1 X 1 X 1 cubes, 2 X 2 X 1 plates and trominos (L-shaped connection of 3 cubes).
[ "1", "6", "122", "1768", "28844", "457592", "7318760", "116806896", "1865305376", "29782666544", "475549098160", "7593154541264", "121241257906000", "1935879286697296", "30910512661708432", "493553365105565264", "7880649886335326608", "125831666350680625104" ]
[ "nonn" ]
7
0
2
[ "A001045", "A006253", "A033516", "A335559", "A359884", "A359885", "A360064", "A360065", "A360575", "A360576", "A360577" ]
null
Gerhard Kirchner, Feb 12 2023
2023-02-13T03:11:15
oeisdata/seq/A360/A360576.seq
e629da01a372704a62524ec0371e7ba6
A360577
Number of 3-dimensional tilings of a 2 X 2 X n box using 2 X 2 X 1 plates, 2 X 1 X 1 dominos and trominos (L-shaped connection of 3 cubes).
[ "1", "3", "60", "657", "8311", "101284", "1246049", "15292819", "187803572", "2305968393", "28315208039", "347681742812", "4269186204201", "52421329940803", "643681521419708", "7903765218510353", "97050331862075975", "1191681006432895780", "14632650860374551265", "179674317212728197891", "2206220907971874345652" ]
[ "nonn" ]
6
0
2
[ "A001045", "A006253", "A033516", "A335559", "A359884", "A359885", "A360064", "A360065", "A360575", "A360576", "A360577" ]
null
Gerhard Kirchner, Feb 12 2023
2023-02-13T03:18:00
oeisdata/seq/A360/A360577.seq
a8aaacceac89f92005a06ca0a4e2797b
A360578
Expansion of g.f. A(x) satisfying A(x) = Series_Reversion( x - x*A'(x)*A(x) ).
[ "1", "1", "5", "42", "471", "6422", "101439", "1803949", "35459549", "760744865", "17651187689", "439893743313", "11711735210140", "331666197753372", "9954249177284539", "315638779480717743", "10545365878475964736", "370309787453143694246", "13637805276205022293179", "525684316153586923528166" ]
[ "nonn" ]
20
1
3
[ "A213591", "A259606", "A303063", "A360578" ]
null
Paul D. Hanna, Feb 21 2023
2023-02-22T12:26:38
oeisdata/seq/A360/A360578.seq
db0d6383f27f905a9b9303d1b52c0f14
A360579
Expansion of A(x) satisfying A(x) = Series_Reversion( x - x^3 * A'(x)/A(x) ).
[ "1", "1", "3", "15", "105", "941", "10227", "130103", "1890785", "30848357", "557693603", "11059808615", "238659220361", "5566711614125", "139564620135715", "3742989867108071", "106932082058345601", "3242189373760912485", "103987607657060861139", "3517689685292365948343", "125173307497940331598857" ]
[ "nonn" ]
13
1
3
[ "A356848", "A360578", "A360579" ]
null
Paul D. Hanna, Feb 22 2023
2023-02-24T02:31:22
oeisdata/seq/A360/A360579.seq
7437bbfcaad0cf9893cf646886a349e7
A360580
Expansion of g.f. A(x) satisfying x = P(x) * Sum_{n=-oo..+oo} x^(n*(3*n+1)/2) * (A(x)^(3*n) - 1/A(x)^(3*n+1)), where P(x) = 1/Product_{n>=1} (1 - x^n).
[ "1", "1", "5", "21", "90", "423", "2209", "12261", "69842", "403722", "2367829", "14096616", "85043323", "518567546", "3189349181", "19758783404", "123200215388", "772606927013", "4870004002571", "30837536428981", "196065919894270", "1251190368574657", "8011186350002373", "51451177669973807", "331365405433649972" ]
[ "nonn" ]
13
0
3
[ "A359920", "A360580" ]
null
Paul D. Hanna, Mar 20 2023
2024-01-19T04:09:20
oeisdata/seq/A360/A360580.seq
782469d24561593300a66e11bcdf10e5
A360581
Expansion of A(x) satisfying [x^n] A(x)^n / (1 + x*A(x)^n)^n = 0 for n > 0.
[ "1", "1", "3", "17", "131", "1204", "12587", "149131", "2036675", "32358153", "587313706", "11761213199", "252859744189", "5785648936988", "141627609404793", "3737907237793369", "106414467836076985", "3241492594168333618", "104522041356412895455", "3541554178675758259947", "125782730912626755808358" ]
[ "nonn" ]
9
0
3
[ "A303063", "A360581", "A360582", "A360583", "A360584" ]
null
Paul D. Hanna, Mar 12 2023
2023-09-13T10:49:00
oeisdata/seq/A360/A360581.seq
42643a6bb522a3f97c54bbe6c36e9e81
A360582
Expansion of A(x) satisfying [x^n] A(x) / (1 + x*A(x)^n) = 0 for n > 0.
[ "1", "1", "2", "8", "48", "382", "3793", "45208", "627957", "9928646", "175476102", "3420270423", "72789704826", "1678446235555", "41675807453127", "1108522434288617", "31444611938560078", "947522959703143140", "30225484159719768548", "1017558928058932606182", "36053690169955373601165", "1341103168079733579768368" ]
[ "nonn" ]
11
0
3
[ "A360581", "A360582", "A360583", "A360584" ]
null
Paul D. Hanna, Mar 12 2023
2023-03-13T04:05:19
oeisdata/seq/A360/A360582.seq
822bdd7a2a72af6e15e53c0b55430a06
A360583
Expansion of A(x) satisfying [x^n] A(x) / (1 + x*A(x)^(n+1)) = 0 for n > 0.
[ "1", "1", "3", "17", "139", "1455", "18326", "267700", "4426686", "81455357", "1646941293", "36238989035", "861298646217", "21978627323651", "599195351716464", "17379759869328515", "534392854606942358", "17363705283005593096", "594513962872698955686", "21395116871674867310280", "807416275879430472577570" ]
[ "nonn" ]
9
0
3
[ "A360582", "A360583", "A360584" ]
null
Paul D. Hanna, Mar 12 2023
2023-03-13T04:17:16
oeisdata/seq/A360/A360583.seq
e23e03241544d002265d1084a76d1ed6
A360584
Expansion of A(x) satisfying [x^n] A(x) / (1 + x*A(x)^(n+2)) = 0 for n > 0.
[ "1", "1", "4", "29", "294", "3727", "55748", "950898", "18094313", "378363501", "8600306451", "210773059751", "5534376088000", "154911828439188", "4603267204022882", "144710918709587399", "4798300212740184379", "167370947204751098624", "6127130537038980726113", "234905895680130694945861", "9413383171884998924237972" ]
[ "nonn" ]
9
0
3
[ "A360582", "A360583", "A360584" ]
null
Paul D. Hanna, Mar 12 2023
2023-03-13T04:26:27
oeisdata/seq/A360/A360584.seq
aa6556a756d4310b63bac4f8b8af5976
A360585
The integers of the sequence appear exactly twice. Between the two copies of k there are k even integers. The sequence is always extended with the smallest integer not leading to a contradiction.
[ "1", "2", "1", "3", "4", "5", "6", "2", "3", "7", "8", "9", "10", "4", "5", "11", "12", "13", "14", "6", "15", "16", "7", "17", "18", "19", "20", "8", "9", "21", "22", "23", "24", "10", "25", "26", "11", "27", "28", "29", "30", "12", "13", "31", "32", "33", "34", "14", "35", "36", "15", "37", "38", "39", "40", "16", "17", "41", "42", "43", "44", "18", "19", "45", "46", "47", "48", "20", "49", "50" ]
[ "nonn" ]
16
1
2
[ "A360476", "A360585" ]
null
Eric Angelini, Feb 12 2023
2023-03-01T14:41:16
oeisdata/seq/A360/A360585.seq
15c7e742200b08bcc92d25e0e85a63ec
A360586
Expansion of e.g.f.: exp(x)*(exp(x)-1)*(exp(x)-x).
[ "0", "1", "3", "10", "37", "136", "479", "1618", "5289", "16876", "52915", "163846", "502781", "1532896", "4651911", "14070394", "42456913", "127894996", "384799067", "1156756462", "3475250085", "10436235976", "31330727983", "94038321250", "282211432697", "846835624636", "2540926304259", "7623651327958" ]
[ "nonn" ]
10
0
3
null
null
Enrique Navarrete, Feb 12 2023
2023-04-02T09:05:33
oeisdata/seq/A360/A360586.seq
154033a923390b83dafb2aba99a8e13c
A360587
a(n) is the least positive integer k such that k*(k+1)*...*(k+n-1) does not contain the digit 2, or -1 if there is no such k.
[ "1", "2", "1", "3", "7", "2", "1", "3", "3", "2", "1", "1", "3", "2", "1", "5", "10", "10", "10", "17", "4", "8", "38", "38", "19", "17", "2", "1", "1", "3" ]
[ "nonn", "base", "more" ]
4
1
2
[ "A173333", "A360587" ]
null
Robert Israel, Feb 12 2023
2023-02-16T05:40:31
oeisdata/seq/A360/A360587.seq
fbdc21d667e5c0a8705ea8f7004e1491
A360588
Expansion of e.g.f. (exp(x)-1)^2*(x+x^2/2).
[ "0", "0", "0", "6", "36", "130", "390", "1064", "2744", "6822", "16530", "39292", "92004", "212810", "487214", "1105680", "2490096", "5570254", "12385962", "27393668", "60292700", "132120114", "288357894", "627047896", "1358953896", "2936012150", "6325009730", "13589544204", "29125246164", "62277024922", "132875549790", "282930969632", "601295420384" ]
[ "nonn", "easy" ]
12
0
4
null
null
Enrique Navarrete, Feb 12 2023
2023-02-26T17:23:12
oeisdata/seq/A360/A360588.seq
5b0d6787a1ee0ed6565b17e58e92e404
A360589
Numbers k that set records in A355432.
[ "1", "18", "48", "54", "162", "384", "486", "1350", "1458", "2250", "2430", "3750", "6000", "6750", "7290", "11250", "12150", "14580", "15000", "15360", "18750", "21870", "30720", "33750", "36450", "37500", "43740", "56250", "61440", "65610", "93750", "122880", "168750", "182250", "187500", "196830", "245760", "281250", "328050", "360150", "375000", "393660" ]
[ "nonn" ]
15
1
2
[ "A007947", "A055932", "A126706", "A355432", "A360589", "A360768", "A360912", "A364702" ]
null
Michael De Vlieger, Feb 22 2023
2024-10-04T16:52:37
oeisdata/seq/A360/A360589.seq
08de333c4148e6f023ff5c8aa685c272
A360590
a(n) is the smallest number which can be represented as the product of n distinct integers > 1 in exactly n ways.
[ "2", "12", "60", "420", "3456", "60060", "155520", "1512000", "13063680", "169344000", "1524096000", "16765056000", "217945728000", "3705077376000", "52306974720000", "889218570240000", "16895152834560000", "328655183560704000", "6244448487653376000", "143622315216027648000", "2922401892221779968000", "67215243521100939264000" ]
[ "nonn" ]
13
1
1
[ "A045778", "A330974", "A360590" ]
null
Ilya Gutkovskiy, Feb 12 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360590.seq
887e118b91840f8e81e1b9e4b8bb7659
A360591
Primes in A360464.
[ "2", "3", "5", "7", "17", "29", "43", "59", "97", "193", "251", "277", "389", "439", "491", "577", "601", "659", "719", "911", "1049", "1237", "1429", "1511", "1951", "2141", "2239", "2293", "2339", "2441", "3329", "3449", "3571", "3637", "3821", "3889", "4079", "4211", "4481", "4759", "5569", "5641", "6269", "6761", "7537", "7621", "8161", "8629", "8719" ]
[ "nonn", "fini" ]
47
1
1
[ "A000040", "A360464", "A360591" ]
null
Jack Braxton, Feb 12 2023
2023-03-04T15:15:35
oeisdata/seq/A360/A360591.seq
3e40b65023a8a4c13996d3d08c1599ab
A360592
G.f.: Sum_{k>=0} (1 + k*x)^k * x^k.
[ "1", "1", "2", "5", "14", "44", "149", "543", "2096", "8539", "36444", "162380", "752181", "3612037", "17933038", "91843329", "484280386", "2624400428", "14595111277", "83178971707", "485218783724", "2893881790823", "17628815344600", "109585578277012", "694575012732989", "4485139961090153", "29486515600393930" ]
[ "nonn" ]
28
0
3
[ "A092366", "A187018", "A360232", "A360592", "A360699", "A360707" ]
null
Vaclav Kotesovec, Feb 13 2023
2023-02-17T03:29:38
oeisdata/seq/A360/A360592.seq
421cde5805b65b5202abf2b2ae25048b
A360593
Each term a(i) can reach a(i+a(i)) and a(i-a(i)) if these terms exist. a(n) is the greatest number of terms among a(1..n-1) that can be reached by starting at a(n-1) and visiting no term more than once; a(0)=0. See example.
[ "0", "1", "2", "2", "4", "2", "6", "2", "7", "5", "6", "6", "9", "10", "10", "6", "8", "7", "9", "8", "11", "8", "12", "14", "12", "14", "19", "16", "19", "14", "14", "16", "14", "21", "14", "16", "21", "14", "14", "16", "14", "18", "14", "16", "21", "21", "19", "21", "22", "22", "21", "23", "24", "24", "29", "29", "22", "26", "24", "28", "24", "26", "31", "24", "31", "34", "24", "30", "34", "29", "39" ]
[ "nonn" ]
45
0
3
[ "A360593", "A360594", "A360595", "A360744", "A360745", "A360746" ]
null
S. Brunner, Feb 13 2023
2023-02-25T08:20:17
oeisdata/seq/A360/A360593.seq
0112fb2dc05b606e9605aab345d168f1
A360594
a(n) is the maximum number of locations 0..n-1 which can be visited in a single path starting from i=n-1, where jumps from location i to i +- a(i) are permitted (within 0..n-1) and each location can be visited up to 2 times.
[ "0", "2", "1", "2", "4", "3", "8", "1", "2", "2", "4", "2", "8", "5", "4", "6", "13", "14", "14", "13", "13", "16", "22", "3", "17", "16", "20", "13", "13", "24", "22", "15", "24", "15", "14", "17", "14", "4", "15", "18", "23", "26", "28", "13", "16", "30", "28", "14", "15", "17", "16", "19", "16", "33", "18", "33", "32", "35", "39", "38", "40", "38", "39", "39", "36", "39", "38", "39", "41", "52" ]
[ "nonn" ]
32
0
2
[ "A360593", "A360594", "A360595" ]
null
S. Brunner, Feb 13 2023
2024-01-12T10:05:39
oeisdata/seq/A360/A360594.seq
86625700e84d1acd696061909e1f7ca8
A360595
a(n) is the maximum number of locations 1..n-1 which can be visited in a single path starting from i = n-1, where jumps from location i to i +- a(i) are permitted (within 1..n-1) and a term can be visited up to three times.
[ "0", "3", "1", "2", "2", "12", "1", "2", "2", "4", "2", "10", "15", "1", "2", "2", "4", "2", "10", "20", "1", "2", "2", "4", "2", "10", "13", "8", "2", "10", "2", "15", "7", "15", "25", "17", "53", "1", "2", "2", "4", "2", "10", "65", "1", "2", "2", "4", "2", "10", "13", "8", "2", "10", "2", "15", "7", "15", "72", "1", "2", "2", "4", "2", "10", "24", "18", "52" ]
[ "nonn" ]
28
1
2
[ "A360593", "A360595" ]
null
S. Brunner, Feb 14 2023
2023-07-20T07:23:28
oeisdata/seq/A360/A360595.seq
4ae323a474ce4fd8f55dd6100aa8df11
A360596
Expansion of e.g.f. 1/( (1 - x) * (1 + LambertW(-2*x)) ).
[ "1", "3", "22", "282", "5224", "126120", "3742704", "131612432", "5347866752", "246490091136", "12704900911360", "724072211436288", "45209213973292032", "3068872654856532992", "225023336997933996032", "17724257054969009940480", "1492513932494133333753856", "133800772458366199028023296" ]
[ "nonn", "easy" ]
17
0
2
[ "A062971", "A277506", "A277509", "A360596" ]
null
Seiichi Manyama, Feb 13 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360596.seq
f36555d87b3e82540383cb088b02ad05
A360597
Ratios of consecutive terms of A084337: a(n) = max(A084337(n), A084337(n+1)) / min(A084337(n), A084337(n+1)).
[ "2", "3", "4", "8", "5", "6", "18", "7", "9", "45", "10", "11", "77", "12", "30", "13", "14", "91", "16", "15", "160", "17", "19", "228", "20", "21", "510", "22", "28", "23", "24", "276", "25", "26", "1100", "27", "39", "29", "31", "279", "32", "58", "33", "34", "561", "35", "56", "36", "40", "37", "38", "1332", "41", "42", "1558", "43", "44", "1419", "46", "47", "2632", "48", "49" ]
[ "nonn" ]
8
0
1
[ "A084337", "A360597" ]
null
Rémy Sigrist, Feb 13 2023
2023-02-14T12:54:53
oeisdata/seq/A360/A360597.seq
f011421b39c0ced41de8ac156f164342
A360598
Lexicographically earliest sequence of positive integers such that the ratios between successive terms, { max(a(n), a(n+1)) / min(a(n), a(n+1)), n > 0 }, are distinct integers.
[ "1", "1", "2", "6", "1", "4", "20", "1", "7", "56", "1", "9", "90", "1", "11", "132", "1", "13", "182", "1", "15", "240", "1", "17", "306", "1", "19", "399", "1", "22", "506", "1", "24", "600", "1", "26", "702", "1", "28", "812", "1", "30", "930", "1", "32", "1056", "1", "34", "1190", "1", "36", "1332", "1", "38", "1482", "1", "40", "1640", "1", "42", "1806", "1", "44", "1980", "1", "46" ]
[ "nonn" ]
8
1
3
[ "A084337", "A360598", "A360599" ]
null
Rémy Sigrist, Feb 13 2023
2023-02-14T12:54:57
oeisdata/seq/A360/A360598.seq
f8b1321fae5a7713c5670c27dcfd5f9e
A360599
Ratios of consecutive terms of A360598: a(n) = max(A360598(n), A360598(n+1)) / min(A360598(n), A360598(n+1)).
[ "1", "2", "3", "6", "4", "5", "20", "7", "8", "56", "9", "10", "90", "11", "12", "132", "13", "14", "182", "15", "16", "240", "17", "18", "306", "19", "21", "399", "22", "23", "506", "24", "25", "600", "26", "27", "702", "28", "29", "812", "30", "31", "930", "32", "33", "1056", "34", "35", "1190", "36", "37", "1332", "38", "39", "1482", "40", "41", "1640", "42", "43", "1806", "44" ]
[ "nonn" ]
11
1
2
[ "A360597", "A360598", "A360599", "A360600" ]
null
Rémy Sigrist, Feb 13 2023
2023-02-14T12:55:02
oeisdata/seq/A360/A360599.seq
b90f5e20f734bb8b5600accc190a0e3a
A360600
Inverse permutation to A360599.
[ "1", "2", "3", "5", "6", "4", "8", "9", "11", "12", "14", "15", "17", "18", "20", "21", "23", "24", "26", "7", "27", "29", "30", "32", "33", "35", "36", "38", "39", "41", "42", "44", "45", "47", "48", "50", "51", "53", "54", "56", "57", "59", "60", "62", "63", "65", "66", "68", "69", "71", "72", "74", "75", "77", "78", "10", "80", "81", "83", "84", "86", "87", "89", "90", "92", "93", "95" ]
[ "nonn" ]
7
1
2
[ "A360599", "A360600" ]
null
Rémy Sigrist, Feb 13 2023
2023-02-14T12:55:06
oeisdata/seq/A360/A360600.seq
d1a193630f24e3b3d58788a657ebac44