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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.

A357194 a(n) = n! * Sum_{k=0..floor(n/3)} k^(3*n)/k!.

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%I A357194 #12 Sep 17 2022 08:48:43
%S A357194 1,0,0,6,24,120,94372560,5284828080,338228714880,461220488356944960,
%T A357194 124524904888012809600,36983489578531184304000,
%U A357194 94262861823240343196388902400,78420937396722501660156363686400,70262981254649802508019882162611200
%N A357194 a(n) = n! * Sum_{k=0..floor(n/3)} k^(3*n)/k!.
%F A357194 E.g.f.: Sum_{k>=0} (k^3 * x)^(3 * k) / (k! * (1 - k^3 * x)).
%o A357194 (PARI) a(n) = n!*sum(k=0, n\3, k^(3*n)/k!);
%o A357194 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (k^3*x)^(3*k)/(k!*(1-k^3*x)))))
%Y A357194 Cf. A256016, A357193.
%Y A357194 Cf. A352984, A357192.
%K A357194 nonn
%O A357194 0,4
%A A357194 _Seiichi Manyama_, Sep 17 2022