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 A307601 Expansion of Product_{k>=1} (1 - x^k/(1 + x)). 6
 1, -1, 0, 0, -1, 2, -4, 7, -11, 16, -21, 26, -30, 33, -33, 28, -14, -13, 59, -131, 238, -390, 598, -873, 1225, -1663, 2194, -2822, 3544, -4347, 5202, -6059, 6838, -7420, 7633, -7238, 5911, -3226, -1365, 8552, -19190, 34320, -55189, 83266, -120254, 168094, -228958 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..500 FORMULA G.f.: exp(-Sum_{k>=1} x^k * Sum_{d|k} 1/(d*(1+x)^d)). PROG (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, 1-x^k/(1+x))) (PARI) N=66; x='x+O('x^N); Vec(exp(-sum(k=1, N, x^k*sumdiv(k, d, 1/(d*(1+x)^d))))) CROSSREFS Cf. A126348, A307599, A307602. Sequence in context: A238485 A316264 A067744 * A194215 A025718 A022783 Adjacent sequences:  A307598 A307599 A307600 * A307602 A307603 A307604 KEYWORD sign,look,changed AUTHOR Seiichi Manyama, Apr 18 2019 STATUS approved

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Last modified September 21 23:55 EDT 2019. Contains 327286 sequences. (Running on oeis4.)