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 A357964 #11 Oct 22 2022 14:02:22 %S A357964 1,1,1,1,13,61,181,1261,12601,77113,481321,6102361,63041221,492260341, %T A357964 6041807773,87670198981,945716793841,11365316711281,193962371184721, %U A357964 2824572189001393,36983289122143741,658584258052917421,12073641790111934341,185876257572349699741 %N A357964 Expansion of e.g.f. exp( (exp(x^3) - 1)/x^2 ). %F A357964 a(n) = n! * Sum_{k=0..floor(n/3)} Stirling2(n-2*k,n-3*k)/(n-2*k)!. %o A357964 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((exp(x^3)-1)/x^2))) %o A357964 (PARI) a(n) = n!*sum(k=0, n\3, stirling(n-2*k, n-3*k, 2)/(n-2*k)!); %Y A357964 Cf. A357962, A357965. %Y A357964 Cf. A353223. %K A357964 nonn %O A357964 0,5 %A A357964 _Seiichi Manyama_, Oct 22 2022