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 A381751 #12 Mar 06 2025 08:27:50 %S A381751 1,7,252,12866,767460,50005591,3449225652,247579862356,18301102679444, %T A381751 1383742325041292,106516121515030768,8319491960857739258, %U A381751 657680525420544788060,52522142073165048614002,4230907373618147894630904,343379827862952363210331624,28051180121294369965012932980 %N A381751 Expansion of exp( Sum_{k>=1} binomial(8*k-1,2*k-1) * x^k/k ). %F A381751 a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} binomial(8*k-1,2*k-1) * a(n-k). %o A381751 (PARI) my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, binomial(8*k-1, 2*k-1)*x^k/k))) %Y A381751 Cf. A006013, A079489, A182960, A381752, A381753, A381757, A381758. %Y A381751 Cf. A381745. %K A381751 nonn,easy %O A381751 0,2 %A A381751 _Seiichi Manyama_, Mar 06 2025