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A010832 Expansion of Product_{k>=1} (1-x^k)^27. 1
1, -27, 324, -2223, 9126, -19278, -5967, 159030, -399087, 151593, 1270971, -2500875, 74970, 4203522, -1004157, -4796037, -11750778, 32885190, 10452375, -77533092, 27104868, 43070625, 63798840, -69960267, -215939061, 236414349, -37046646, 237487433, 85921371 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
Newman, Morris; 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
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) = -(27/n) * Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Aug 13 2023
CROSSREFS
Column k=27 of A286354.
Cf. A000203.
Sequence in context: A182130 A224311 A224375 * A022719 A290405 A048709
KEYWORD
sign
AUTHOR
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)