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 A362188 #11 Apr 11 2023 11:34:18 %S A362188 1,1,5,43,513,7781,142861,3075255,75879553,2110145833,65275127541, %T A362188 2222656864451,82595058938305,3325666654250253,144214230714973693, %U A362188 6700048267934377231,331988586859256529921,17475202293073669341905,973765103770578798536293 %N A362188 Expansion of e.g.f. exp(x/(1-3*x)^(2/3)). %F A362188 a(n) = n! * Sum_{k=0..n} (-3)^k * binomial(-2*(n-k)/3,k)/(n-k)! = n! * Sum_{k=0..n} 3^(n-k) * binomial(n-k/3-1,n-k)/k!. %o A362188 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x/(1-3*x)^(2/3)))) %Y A362188 Cf. A321837, A362164, A362205. %K A362188 nonn,easy %O A362188 0,3 %A A362188 _Seiichi Manyama_, Apr 11 2023