This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A318121 #5 Aug 19 2018 07:22:40 %S A318121 1,1,4,15,65,269,1205,5325,24064,108849,496790,2275492,10470720, %T A318121 48325984,223721404,1038182441,4828274432,22497132116,105001996350, %U A318121 490816448220,2297356108318,10766317435860,50511178395306,237217429972191,1115084064063866,5246116796164594 %N A318121 a(n) = [x^n] exp(Sum_{k>=1} x^k*(1 + (n - 3)*x^k)/(k*(1 - x^k)^4)). %C A318121 For n > 2, a(n) is the n-th term of the Euler transform of n-gonal pyramidal numbers. %H A318121 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a> %H A318121 <a href="/index/Ps#pyramidal_numbers">Index to sequences related to pyramidal numbers</a> %F A318121 a(n) ~ c * d^n / sqrt(n), where d = 4.80064986801984997726284... and c = 0.244706939300168165858... - _Vaclav Kotesovec_, Aug 19 2018 %t A318121 Table[SeriesCoefficient[Exp[Sum[x^k (1 + (n - 3) x^k)/(k (1 - x^k)^4), {k, 1, n}]], {x, 0, n}], {n, 0, 25}] %Y A318121 Cf. A000335, A279215, A279216, A279217, A279218, A279219, A318118. %K A318121 nonn %O A318121 0,3 %A A318121 _Ilya Gutkovskiy_, Aug 18 2018