OFFSET
0,2
REFERENCES
Morris Newman, A table of the coefficients of the powers of eta(tau), Nederl. Akad. Wetensch. Proc. Ser. A. 59 = Indag. Math. 18 (1956), 204-216.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
M. Boylan, Exceptional congruences for the coefficients of certain eta-product newforms, J. Number Theory 98 (2003), no. 2, 377-389.
FORMULA
a(0) = 1, a(n) = -(22/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 27 2017
G.f.: exp(-22*Sum_{k>=1} x^k/(k*(1 - x^k))). - Ilya Gutkovskiy, Feb 05 2018
Empirical: Sum_{n>=0} a(n) / exp(n*Pi) = (1/512) * exp(11*Pi/12) * Pi^(11/2) * 2^(3/4) / Gamma(3/4)^22 = A388223. - Simon Plouffe, Sep 15 2025
CROSSREFS
KEYWORD
sign
AUTHOR
STATUS
approved
