A029842 Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^5.

1, 5, 5, -10, -10, 31, 20, -75, -40, 150, 84, -280, -165, 520, 290, -935, -495, 1595, 855, -2640, -1424, 4315, 2265, -6925, -3570, 10860, 5605, -16740, -8615, 25520, 12984, -38455, -19390, 57150, 28740, -83961, -42110, 122320

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

G.f.: x^(5/8)*theta_2(sqrt(x))^5/theta_2(x)^5, where theta_() is the Jacobi theta function. - Ilya Gutkovskiy, Dec 04 2017

Crossrefs

Cf. A029838, A029839, A029840, A029841, A029843, A029844.

Sequence in context: A168284 A166598 A066256 * A112436 A309457 A285932

Adjacent sequences: A029839 A029840 A029841 * A029843 A029844 A029845

Keyword

sign

Author

N. J. A. Sloane

Status

approved