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A010823 Expansion of Product_{k>=1} (1 - x^k)^17. 2
1, -17, 119, -408, 476, 1309, -5236, 4233, 8602, -15470, -4250, 5236, 45815, -21182, -117776, 101065, 46767, 36685, -36771, -267036, 143514, -18241, 486285, 81753, -1007250, 104006, 165767, 579292, 78829, 187510 (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
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) = -(17/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 27 2017
G.f.: exp(-17*Sum_{k>=1} x^k/(k*(1 - x^k))). - Ilya Gutkovskiy, Feb 05 2018
MATHEMATICA
With[{nn=50}, CoefficientList[Series[Product[(1-x^k)^17, {k, nn}], {x, 0, nn}], x]] (* Harvey P. Dale, Jul 24 2019 *)
CROSSREFS
Sequence in context: A102353 A289663 A048714 * A022709 A221329 A196806
KEYWORD
sign
AUTHOR
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)