A010828 Expansion of Product_{k>=1} (1 - x^k)^22.

1, -22, 209, -1078, 2926, -1672, -15169, 47234, -31350, -107426, 218680, -266, -234707, -237006, 405878, 1444806, -2415413, -1091398, 3018169, 523050, 1618309, -7344304, -134905, 5365866, 5852, 17297588, -24278276

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.

Index entries for expansions of Product_{k >= 1} (1-x^k)^m

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

Crossrefs

Sequence in context: A274982 A144249 A280475 * A022714 A302924 A125385

Adjacent sequences: A010825 A010826 A010827 * A010829 A010830 A010831

Keyword

sign

Author

N. J. A. Sloane.

Status

approved