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.

A183205 a(n) = [x^n] (1-x)^(3n+1)/(n+1) * Sum_{k>=0} C(n+k-1,k)^3*x^k.

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%I A183205 #7 Apr 23 2022 16:21:30
%S A183205 1,2,16,190,2768,45584,814728,15439974,305760400,6265985440,
%T A183205 131980086368,2843029539376,62400628835608,1391503990134080,
%U A183205 31454839290752912,719470742267557110,16627360903974831120,387786053931422003360
%N A183205 a(n) = [x^n] (1-x)^(3n+1)/(n+1) * Sum_{k>=0} C(n+k-1,k)^3*x^k.
%F A183205 a(n) = A183204(n)/(n+1), where A183204 equals the central terms of triangle A181544.
%o A183205 (PARI) {a(n)=polcoeff((1-x)^(3*n+1)/(n+1)*sum(j=0, 2*n, binomial(n+j, j)^3*x^j), n)}
%Y A183205 Cf. A181544, A183204.
%K A183205 nonn
%O A183205 0,2
%A A183205 _Paul D. Hanna_, Dec 30 2010