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 A318118 #6 Aug 18 2018 11:23:15 %S A318118 1,1,3,10,40,150,616,2456,10102,41400,171526,712111,2972115,12434993, %T A318118 52195414,219567909,925704792,3909841659,16541598215,70085877919, %U A318118 297347922785,1263046810334,5370930049915,22861883482838,97402827429118,415332438952517,1772380322197432 %N A318118 a(n) = [x^n] exp(Sum_{k>=1} x^k*(1 + (n - 3)*x^k)/(k*(1 - x^k)^3)). %C A318118 For n > 2, a(n) is the n-th term of the Euler transform of n-gonal numbers. %H A318118 Vaclav Kotesovec, <a href="/A318118/b318118.txt">Table of n, a(n) for n = 0..1000</a> %H A318118 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a> %H A318118 <a href="/index/Pol#polygonal_numbers">Index to sequences related to polygonal numbers</a> %F A318118 a(n) ~ c * d^n / sqrt(n), where d = 4.3505530790182509701639869563721679988879373943131559534408716195123... and c = 0.2276354216252041005336767937139336687746108521151301186102034... - _Vaclav Kotesovec_, Aug 18 2018 %t A318118 Table[SeriesCoefficient[Exp[Sum[x^k (1 + (n - 3) x^k)/(k (1 - x^k)^3), {k, 1, n}]], {x, 0, n}], {n, 0, 26}] %Y A318118 Cf. A000294, A023871, A274998, A278767, A278768, A278769. %K A318118 nonn %O A318118 0,3 %A A318118 _Ilya Gutkovskiy_, Aug 18 2018