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A010825 Expansion of Product_{k>=1} (1 - x^k)^19. 2
1, -19, 152, -627, 1140, 988, -9063, 14212, 7410, -44270, 22781, 38114, 36176, -137256, -154850, 480605, -46493, -316065, -153406, -254525, 1156948, -184927, 88483, -1051042, -2381650, 3838874, 1417039, -542146 (list; graph; refs; listen; history; text; internal format)
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) = -(19/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 27 2017

G.f.: exp(-19*Sum_{k>=1} x^k/(k*(1 - x^k))). - Ilya Gutkovskiy, Feb 05 2018

CROSSREFS

Sequence in context: A126514 A168025 A160431 * A022711 A355217 A254142

Adjacent sequences: A010822 A010823 A010824 * A010826 A010827 A010828

KEYWORD

sign

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 3 19:41 EST 2022. Contains 358543 sequences. (Running on oeis4.)