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 A000739 Expansion of Product_{k>=1} (1 - x^k)^16. (Formerly M5006 N2155) 3
 1, -16, 104, -320, 260, 1248, -3712, 1664, 6890, -7280, -5568, -4160, 33176, 4640, -74240, 29824, 14035, 54288, 27040, -142720, 1508, -110240, 289536, 222720, -380770, -83200, -123904, 142912, 7640, 408000, 386048 (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. 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. FORMULA a(0) = 1, a(n) = -(16/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 27 2017 G.f.: exp(-16*Sum_{k>=1} x^k/(k*(1 - x^k))). - Ilya Gutkovskiy, Feb 05 2018 CROSSREFS Sequence in context: A245872 A304505 A210687 * A186852 A010079 A022708 Adjacent sequences:  A000736 A000737 A000738 * A000740 A000741 A000742 KEYWORD sign,easy AUTHOR STATUS approved

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Last modified November 15 15:59 EST 2018. Contains 317239 sequences. (Running on oeis4.)