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 A368292 #6 Dec 20 2023 12:37:05 %S A368292 1,2,11,97,1109,15821,271255,5425967,124032137,3189663433,91141189931, %T A368292 2864686414547,98226339773677,3648723468367277,145961603607355775, %U A368292 6256040115149251591,286015221831125756945,13893373399551594686609,714578347872583574806099 %N A368292 Expansion of e.g.f. exp(x) / (1 - x*exp(3*x)). %F A368292 a(n) = n! * Sum_{k=0..n} (3*(n-k)+1)^k / k!. %o A368292 (PARI) a(n) = n!*sum(k=0, n, (3*(n-k)+1)^k/k!); %Y A368292 Cf. A336948, A368293. %K A368292 nonn,easy %O A368292 0,2 %A A368292 _Seiichi Manyama_, Dec 19 2023