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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.

A356673 a(n) = n! * Sum_{k=0..n} k^(3*(n-k))/k!.

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%I A356673 #14 Nov 27 2022 06:44:31
%S A356673 1,1,3,31,901,45741,3960871,584698843,130554106761,40790044059481,
%T A356673 17681098707667531,10491554658622447191,8198225417359164798733,
%U A356673 8172446419302496167191941,10264848632098736708582150511
%N A356673 a(n) = n! * Sum_{k=0..n} k^(3*(n-k))/k!.
%H A356673 Seiichi Manyama, <a href="/A356673/b356673.txt">Table of n, a(n) for n = 0..185</a>
%F A356673 E.g.f: Sum_{k>=0} x^k / (k! * (1 - k^3 * x)).
%o A356673 (PARI) a(n) = n!*sum(k=0, n, k^(3*(n-k))/k!);
%o A356673 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, x^k/(k!*(1-k^3*x)))))
%Y A356673 Cf. A354436, A356672.
%Y A356673 Cf. A349880, A356629, A358687.
%K A356673 nonn
%O A356673 0,3
%A A356673 _Seiichi Manyama_, Aug 22 2022