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A357926 a(n) = Sum_{k=0..floor(n/4)} Stirling2(n - 3*k,n - 4*k).

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%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