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 A365895 #8 Sep 22 2023 11:31:50 %S A365895 1,0,0,0,1,0,0,0,35,1,0,0,5775,715,1,0,2627625,850850,27370,1, %T A365895 2546168625,1697445750,189019600,826045,4509264634876,5368172184375, %U A365895 1385034901250,52398292375,13189599083995050,25499891510218126,12524921737453125 %N A365895 Expansion of e.g.f. exp( Sum_{k>=0} x^(5*k+4) / (5*k+4)! ). %F A365895 a(0)=1; a(n) = Sum_{k=0..floor((n-4)/5)} binomial(n-1,5*k+3) * a(n-5*k-4). %o A365895 (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\5, x^(5*k+4)/(5*k+4)!)))) %Y A365895 Cf. A057837, A365894. %K A365895 nonn %O A365895 0,9 %A A365895 _Seiichi Manyama_, Sep 22 2023