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 A306624 #19 Feb 28 2024 10:46:26 %S A306624 1,1,3,13,73,501,4051,37633,394353,4596553,55312291,744239541, %T A306624 10793656633,167689950013,2775839905203,48726598412521, %U A306624 903159189729121,17607070923233553,359702718305842243,7673827033741108573,171586828999546057641,3999150173195168500741 %N A306624 Expansion of e.g.f. exp(Sum_{k=1..9} x^k). %H A306624 Seiichi Manyama, <a href="/A306624/b306624.txt">Table of n, a(n) for n = 0..465</a> %F A306624 a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..min(9,n)} k*a(n-k)/(n-k)! for n > 0. %t A306624 m=21; CoefficientList[Series[Exp[Sum[x^k, {k,1,9}]], {x, 0, m}], x] * Range[0,m]! (* _Amiram Eldar_, Mar 01 2019 *) %o A306624 (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(sum(k=1, 9, x^k)))) %Y A306624 Column 9 of A293669. %K A306624 nonn %O A306624 0,3 %A A306624 _Seiichi Manyama_, Mar 01 2019