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A267004 Expansion of Product_{k>=1} ((1 + k*x^k) / (1 - x^k)). 7

%I #8 Jan 09 2016 04:55:04

%S 1,2,5,12,24,50,97,184,331,606,1061,1834,3125,5228,8673,14250,23034,

%T 36894,58750,92298,144398,223994,344916,527116,801295,1209870,1816539,

%U 2713956,4033169,5961700,8775236,12852444,18742153,27225316,39371647,56743200,81467211

%N Expansion of Product_{k>=1} ((1 + k*x^k) / (1 - x^k)).

%C Convolution of A022629 and A000041.

%H Vaclav Kotesovec, <a href="/A267004/b267004.txt">Table of n, a(n) for n = 0..10000</a>

%t nmax = 50; CoefficientList[Series[Product[(1+k*x^k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A000041, A022629, A267005, A267007.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Jan 08 2016

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Last modified July 12 02:32 EDT 2024. Contains 374237 sequences. (Running on oeis4.)