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A306749
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Expansion of Product_{k>=1} 1/(1 - x^k * (1 - x)).
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4
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1, 1, 1, 0, 0, -1, 1, -1, 2, -2, 2, -4, 6, -8, 11, -13, 16, -23, 32, -44, 61, -80, 102, -133, 178, -243, 331, -441, 579, -759, 1001, -1335, 1792, -2398, 3186, -4205, 5537, -7320, 9734, -12975, 17266, -22893, 30267, -40004, 52968, -70282, 93348, -123900, 164179, -217277
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OFFSET
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0,9
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LINKS
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FORMULA
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G.f.: exp(Sum_{k>=1} x^k * Sum_{d|k} (1 - x)^d/d). - Ilya Gutkovskiy, Apr 16 2019
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MATHEMATICA
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m = 49; CoefficientList[Series[Product[1/(1 - x^k * (1 - x)), {k, 1, m}], {x, 0, m}], x] (* Amiram Eldar, May 14 2021 *)
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PROG
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(PARI) N=66; x='x+O('x^N); Vec(1/prod(k=1, N, 1-x^k*(1-x)))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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