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A265834 Expansion of Product_{k>=1} 1/(1 - (5*k-4)*x^(5*k-4)). 4

%I

%S 1,1,1,1,1,1,7,7,7,7,7,18,54,54,54,54,70,136,352,352,352,373,590,986,

%T 2282,2282,2308,2610,3912,6288,14064,14095,14738,17881,25693,39949,

%U 86641,87449,93243,112101,158973,244550,525900,536105,585510,698658,979936

%N Expansion of Product_{k>=1} 1/(1 - (5*k-4)*x^(5*k-4)).

%H Vaclav Kotesovec, <a href="/A265834/b265834.txt">Table of n, a(n) for n = 0..5000</a>

%F a(n) ~ c * 6^(n/6), where

%F c = 1.946161573585465742120451753889110403102785483969509157884... if mod(n,6) = 0

%F c = 1.492695368258335848636116399838163314228018468452433528714... if mod(n,6) = 1

%F c = 1.205892633747241909081118546347785156858709648302505136919... if mod(n,6) = 2

%F c = 1.062580541177612790307764142722360963628515836057478463493... if mod(n,6) = 3

%F c = 1.098873691517923934789388233817534832428257891275964607033... if mod(n,6) = 4

%F c = 1.239744254161848837318727201496086964789190390884460407810... if mod(n,6) = 5.

%t nmax = 40; CoefficientList[Series[Product[1/(1 - (5*k-4)*x^(5*k-4)), {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A067553, A265820, A265821, A265828, A265829, A265830.

%Y Cf. A265831, A265832, A265833.

%K nonn

%O 0,7

%A _Vaclav Kotesovec_, Dec 16 2015

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Last modified June 19 00:04 EDT 2021. Contains 345125 sequences. (Running on oeis4.)