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.

A372036 G.f. A(x) satisfies A(x) = ( 1 + 9*x*A(x)/(1 - x) )^(1/3).

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%I A372036 #8 Apr 17 2024 08:33:49
%S A372036 1,3,3,-6,3,57,-141,-321,2460,-1572,-29400,92505,196905,-1841208,
%T A372036 1608636,24028995,-85167204,-161127519,1756947801,-1901675715,
%U A372036 -23476298442,91225005105,149447955855,-1890518796654,2421742054233,25239556328043,-106352841162777
%N A372036 G.f. A(x) satisfies A(x) = ( 1 + 9*x*A(x)/(1 - x) )^(1/3).
%F A372036 a(n) = Sum_{k=0..n} 9^k * binomial(k/3+1/3,k) * binomial(n-1,n-k)/(k+1).
%o A372036 (PARI) a(n) = sum(k=0, n, 9^k*binomial(k/3+1/3, k)*binomial(n-1, n-k)/(k+1));
%Y A372036 Cf. A372017.
%K A372036 sign
%O A372036 0,2
%A A372036 _Seiichi Manyama_, Apr 16 2024