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 A365894 #9 Sep 22 2023 11:31:45 %S A365894 1,0,0,0,1,0,0,1,35,0,1,330,5775,1,2717,225225,2627626,21828,6782490, %T A365894 290990701,2546343368,190030590,22939766851,644182060203, %U A365894 4514461227804,1607617027501,109664100094160,2261215037103165,13296854061626851,15998661864449331 %N A365894 Expansion of e.g.f. exp( Sum_{k>=0} x^(3*k+4) / (3*k+4)! ). %F A365894 a(0)=1; a(n) = Sum_{k=0..floor((n-4)/3)} binomial(n-1,3*k+3) * a(n-3*k-4). %o A365894 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\3, x^(3*k+4)/(3*k+4)!)))) %Y A365894 Cf. A057837, A365895. %K A365894 nonn %O A365894 0,9 %A A365894 _Seiichi Manyama_, Sep 22 2023