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A010831 Expansion of Product (1-x^k )^26. 2
1, -26, 299, -1950, 7475, -13754, -12220, 132756, -276575, 0, 1010100, -1486030, -519961, 2486300, 829725, -2215486, -11643060, 18523050, 16317925, -42861650, 0, 11010090, 59644221, -5743400, -138219900 (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.

S. R. Finch, Powers of Euler's q-Series, arXiv:math/0701251 [math.NT], 2007.

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

EXAMPLE

1 - 26*x + 299*x^2 - 1950*x^3 + 7475*x^4 - 13754*x^5 - 12220*x^6 + 132756*x^7 + ...

MATHEMATICA

CoefficientList[Expand@ Product[(1 - x^k)^26, {k, 25}], x, 25] (* Michael De Vlieger, Jun 08 2016 *)

CROSSREFS

Cf. A126581.

Sequence in context: A224331 A125414 A208600 * A022718 A014472 A000498

Adjacent sequences:  A010828 A010829 A010830 * A010832 A010833 A010834

KEYWORD

sign

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 20 18:21 EST 2019. Contains 329337 sequences. (Running on oeis4.)