A135469 Denominators of expansion of eta(5t)^2*eta(10t)^(13/5)*eta(20t)^(-9/5)*eta(40t)^(6/5).

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 25, 1, 1, 1, 1, 25, 1, 1, 1, 1, 125, 1, 1, 1, 1, 125, 1, 1, 1, 1, 625, 1, 1, 1, 1, 625, 1, 1, 1, 1, 15625, 1, 1, 1, 1, 15625, 1, 1, 1, 1, 78125, 1, 1, 1, 1, 78125, 1, 1, 1, 1, 390625, 1, 1, 1, 1, 390625, 1, 1, 1, 1, 1953125, 1

Offset

2,13

Links

Table of n, a(n) for n=2..85.

T. Ishikawa, Congruences between binomial coefficients binom(2f,f) and Fourier coefficients of certain eta-products, Hiroshima Math. J. 22 (1992), no. 3, 583-590.

Example

q^2-2*q^7-18/5*q^12+36/5*q^17+122/25*q^22-144/25*q^27-...

Crossrefs

Cf. A135468 (numerators)

Sequence in context: A109009 A060904 A351084 * A348735 A170817 A170818

Adjacent sequences: A135466 A135467 A135468 * A135470 A135471 A135472

Keyword

nonn,frac

Author

N. J. A. Sloane, Feb 07 2008

Status

approved