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 A365916 #11 Sep 23 2023 07:27:18 %S A365916 1,0,0,0,0,1,0,0,1,0,252,1,0,2574,1,756756,21606,1,33081048,174420, %T A365916 11732745025,1052328186,1397640,1484192245537,30223445274, %U A365916 623360754309330,126750660276241,835509726090,182333017453575330,9309138073555321 %N A365916 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(3*k+5) / (3*k+5)! ). %F A365916 a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/3)} binomial(n,3*k+5) * a(n-3*k-5). %o A365916 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\3, x^(3*k+5)/(3*k+5)!)))) %Y A365916 Cf. A245790, A365915, A365917. %Y A365916 Cf. A365897. %K A365916 nonn,easy %O A365916 0,11 %A A365916 _Seiichi Manyama_, Sep 23 2023