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 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