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A265833 Expansion of Product_{k>=1} 1/(1 - (5*k-3)*x^(5*k-3)). 4

%I #5 Dec 16 2015 05:57:47

%S 1,0,2,0,4,0,8,7,16,14,32,28,76,56,201,112,402,241,804,566,1608,1475,

%T 3238,2950,6739,5900,14066,11827,30533,24012,61066,49865,122164,

%U 103846,245070,224499,494374,449035,1001635,898992,2032082,1805626,4181855,3640890

%N Expansion of Product_{k>=1} 1/(1 - (5*k-3)*x^(5*k-3)).

%H Vaclav Kotesovec, <a href="/A265833/b265833.txt">Table of n, a(n) for n = 0..5000</a>

%F a(n) ~ c * 2^(n/2), where

%F c = 2.083307142076305100818196347525098347528893162823662452462... if n is even,

%F c = 1.350596787589129261746699661559125050005090208149022621867... if n is odd.

%t nmax = 40; CoefficientList[Series[Product[1/(1 - (5*k-3)*x^(5*k-3)), {k, 1, nmax}], {x, 0, nmax}], x]

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

%Y Cf. A265831, A265832, A265834.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Dec 16 2015

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)