

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
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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), 204216.


LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000
M. Boylan, Exceptional congruences for the coefficients of certain etaproduct newforms, J. Number Theory 98 (2003), no. 2, 377389.
Index entries for expansions of Product_{k >= 1} (1x^k)^m


FORMULA

a(0) = 1, a(n) = (19/n)*Sum_{k=1..n} A000203(k)*a(nk) 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



