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 A357926 #10 Oct 20 2022 12:43:39 %S A357926 1,1,1,1,1,2,4,7,11,17,29,54,102,187,337,619,1179,2298,4488,8733, %T A357926 17085,33931,68407,139030,283474,580477,1198195,2496661,5241757, %U A357926 11061986,23453024,50008919,107338755,231825945,503294589,1097731342,2405837254,5300147291 %N A357926 a(n) = Sum_{k=0..floor(n/4)} Stirling2(n - 3*k,n - 4*k). %F A357926 G.f.: Sum_{k>=0} x^k/Product_{j=1..k} (1 - j * x^4). %o A357926 (PARI) a(n) = sum(k=0, n\4, stirling(n-3*k, n-4*k, 2)); %o A357926 (PARI) my(N=40, x='x+O('x^N)); Vec(sum(k=0, N, x^k/prod(j=1, k, 1-j*x^4))) %Y A357926 Cf. A024428, A357925. %Y A357926 Cf. A357904. %K A357926 nonn %O A357926 0,6 %A A357926 _Seiichi Manyama_, Oct 20 2022