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 A362205 #15 Apr 11 2023 11:33:24 %S A362205 1,1,3,19,185,2401,38731,745123,16630769,422157025,12005107091, %T A362205 377957000851,13048046175913,490052749100929,19890724260375515, %U A362205 867582126490694371,40467070835396193761,2009901604798183428673,105901641663222888913699 %N A362205 Expansion of e.g.f. exp(x/(1-3*x)^(1/3)). %F A362205 a(n) = n! * Sum_{k=0..n} (-3)^k * binomial(-(n-k)/3,k)/(n-k)! = n! * Sum_{k=0..n} 3^(n-k) * binomial(n-2*k/3-1,n-k)/k!. %o A362205 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x/(1-3*x)^(1/3)))) %Y A362205 Cf. A321837, A362164, A362188. %K A362205 nonn,easy %O A362205 0,3 %A A362205 _Seiichi Manyama_, Apr 11 2023