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 A010838 Expansion of Product_{k>=1} (1-x^k)^44. 1
 1, -44, 902, -11352, 96965, -582692, 2428382, -6245448, 3684670, 43828180, -195750104, 340202584, 211248851, -2418539816, 4734800950, -43313600, -16560186918, 26632794760, 4021681554, -50231748600, 12519655368 (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 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) = -(44/n) * Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Aug 13 2023 MATHEMATICA With[{nn=20}, CoefficientList[Series[Product[(1-x^k)^44, {k, nn}], {x, 0, nn}], x]] (* Harvey P. Dale, Mar 23 2015 *) CROSSREFS Column k=44 of A286354. Cf. A000203. Sequence in context: A183756 A183750 A133349 * A191374 A299466 A010960 Adjacent sequences: A010835 A010836 A010837 * A010839 A010840 A010841 KEYWORD sign AUTHOR N. J. A. Sloane STATUS approved

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Last modified November 30 18:31 EST 2023. Contains 367461 sequences. (Running on oeis4.)