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A029840 Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^3. 9

%I #13 Aug 11 2018 11:35:51

%S 1,3,0,-5,3,9,-7,-15,9,27,-12,-45,22,66,-36,-99,51,153,-73,-222,108,

%T 311,-159,-441,221,624,-297,-863,414,1170,-575,-1584,765,2144,-1014,

%U -2862,1361,3774,-1809,-4964,2361,6516,-3063,-8481

%N Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^3.

%H Seiichi Manyama, <a href="/A029840/b029840.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: x^(3/8)*theta_2(sqrt(x))^3/theta_2(x)^3, where theta_() is the Jacobi theta function. - _Ilya Gutkovskiy_, Dec 04 2017

%Y Cf. A029838, A029839, A029841, A029842, A029843, A029844.

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 25 09:13 EDT 2024. Contains 371967 sequences. (Running on oeis4.)