cp's OEIS Frontend

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.

A364195 Expansion of g.f. A(x) satisfying A(x) = 1 + x * A(x)^5 * (1 + A(x)^2).

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%I A364195 #11 Jul 13 2023 08:36:47
%S A364195 1,2,24,412,8280,181904,4232048,102479184,2555884896,65207430848,
%T A364195 1693785940992,44643489969792,1190986788639232,32097745138518528,
%U A364195 872595854798515456,23900545715576753408,658934625866433496576,18271554709525993556992,509241947434834351042560
%N A364195 Expansion of g.f. A(x) satisfying A(x) = 1 + x * A(x)^5 * (1 + A(x)^2).
%F A364195 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(5*n+2*k+1,n)/(5*n+2*k+1).
%o A364195 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(5*n+2*k+1, n)/(5*n+2*k+1));
%Y A364195 Cf. A217364, A363006, A363305, A364196.
%Y A364195 Cf. A349310, A363304, A363311.
%K A364195 nonn,easy
%O A364195 0,2
%A A364195 _Seiichi Manyama_, Jul 13 2023