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.

A202942 G.f.: [ Sum_{n>=0} (n+1)*(n+2)/2 * 2^(n^2) * x^n ]^(1/3).

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%I A202942 #6 Mar 30 2012 18:37:33
%S A202942 1,2,28,1592,320416,233502272,640425828736,6752822665196288,
%T A202942 276674110514780283136,44326172948662599528407552,
%U A202942 27888135883706078415361423227904,69119744225611603596101581358820128768,676455661208111898411893322163207326229331968
%N A202942 G.f.: [ Sum_{n>=0} (n+1)*(n+2)/2 * 2^(n^2) * x^n ]^(1/3).
%F A202942  a(2*n) == 1 (mod 3); a(2*n+1) == 2 (mod 3).
%e A202942 G.f.: A(x) = 1 + 2*x + 28*x^2 + 1592*x^3 + 320416*x^4 + 233502272*x^5 +...
%e A202942 where
%e A202942 A(x)^3 = 1 + 3*2*x + 6*2^4*x^2 + 10*2^9*x^3 + 15*2^16*x^4 + 21*2^25*x^5 +...
%o A202942 (PARI) {a(n)=polcoeff(sum(m=0,n,(m+1)*(m+2)/2*2^(m^2)*x^m+x*O(x^n))^(1/3),n)}
%K A202942 nonn
%O A202942 0,2
%A A202942 _Paul D. Hanna_, Dec 26 2011