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.

A378155 G.f. A(x) satisfies A(x) = ( 1 + x * A(x)^(2/3) * (1 + A(x)^(2/3)) )^3.

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%I A378155 #5 Nov 18 2024 09:45:03
%S A378155 1,6,48,452,4680,51504,591312,7002864,84926304,1049402944,13165069824,
%T A378155 167239042176,2146912312064,27808372643328,362981425115904,
%U A378155 4769884412086016,63050983340533248,837805424714425344,11184489029495865344,149935005483457542144,2017560365768892739584
%N A378155 G.f. A(x) satisfies A(x) = ( 1 + x * A(x)^(2/3) * (1 + A(x)^(2/3)) )^3.
%F A378155 G.f.: B(x)^3 where B(x) is the g.f. of A219534.
%F A378155 a(n) = 3 * Sum_{k=0..n} binomial(n,k) * binomial(2*n+2*k+3,n)/(2*n+2*k+3).
%o A378155 (PARI) a(n, r=3, t=2, u=2) = r*sum(k=0, n, binomial(n, k)*binomial(t*n+u*k+r, n)/(t*n+u*k+r));
%Y A378155 Cf. A219534, A371693, A378156.
%K A378155 nonn
%O A378155 0,2
%A A378155 _Seiichi Manyama_, Nov 18 2024