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 A000728 Expansion of Product_{n>=1} (1-x^n)^5. (Formerly M3742 N1529) 6
 1, -5, 5, 10, -15, -6, -5, 25, 15, -20, 9, -45, -5, 25, 20, 10, 15, 20, -50, -35, -30, 55, -50, 15, 80, 1, 50, -35, -45, -15, 5, -50, -25, -55, 85, 51, 50, 10, -40, 65, 10, -10, -115, 50, -115, -100, 85, 80, -30, 5, 20, 45, 70, 65, 45, -55, -100 (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. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). 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. MR1955423 (2003k:11071) M. 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. [Annotated scanned copy] FORMULA a(0) = 1, a(n) = -(5/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 26 2017 G.f.: exp(-5*Sum_{k>=1} x^k/(k*(1 - x^k))). - Ilya Gutkovskiy, Feb 05 2018 MATHEMATICA CoefficientList[QPochhammer[x]^5 + O[x]^60, x] (* Jean-François Alcover, Feb 10 2016 *) CROSSREFS Cf. A258405. Sequence in context: A285932 A109064 A138506 * A242895 A242129 A022088 Adjacent sequences:  A000725 A000726 A000727 * A000729 A000730 A000731 KEYWORD sign AUTHOR STATUS approved

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Last modified May 26 02:56 EDT 2020. Contains 334613 sequences. (Running on oeis4.)