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.

A278406 G.f.: x^2 * f''(x), where f(x) = Product_{k>=1} 1 / (1 - x^k).

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%I A278406 #7 Nov 22 2016 08:16:46
%S A278406 0,0,4,18,60,140,330,630,1232,2160,3780,6160,10164,15756,24570,36960,
%T A278406 55440,80784,117810,167580,238260,332640,462924,635030,869400,1174800,
%U A278406 1583400,2113020,2810808,3706780,4875480,6363060,8282208,10711008,13811820,17710770
%N A278406 G.f.: x^2 * f''(x), where f(x) = Product_{k>=1} 1 / (1 - x^k).
%H A278406 Seiichi Manyama, <a href="/A278406/b278406.txt">Table of n, a(n) for n = 0..10000</a>
%F A278406 a(n) = n*(n-1)*A000041(n).
%t A278406 nmax=60; CoefficientList[Series[x^2*D[Product[1/(1-x^k), {k, 1, nmax}], {x, 2}], {x, 0, nmax}], x]
%t A278406 nmax=60; CoefficientList[Series[Product[1/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]*Range[0, nmax]*(Range[0, nmax]-1)
%Y A278406 Cf. A000041, A066186, A066189, A278407.
%K A278406 nonn
%O A278406 0,3
%A A278406 _Vaclav Kotesovec_, Nov 21 2016