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A284317
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Expansion of Product_{k>=0} (1 - x^(5*k+4)) in powers of x.
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6
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1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 2, -1, 0, 0, -1, 2, -1, 0, 0, -1, 3, -1, 0, 0, -2, 3, -1, 0, 0, -3, 4, -1, 0, 1, -4, 4, -1, 0, 1, -5, 5, -1, 0, 2, -7, 5, -1, 0, 3, -8, 6, -1, 0, 5, -10, 6, -1, -1, 6, -12, 7, -1, -1, 9, -14
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OFFSET
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0,24
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LINKS
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FORMULA
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a(n) = -(1/n)*Sum_{k=1..n} A284103(k)*a(n-k), a(0) = 1.
G.f. is the QPochhammer symbol (x^4;x^5)_infinity. - Robert Israel, Mar 27 2017
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MAPLE
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S:= series(mul(1-x^(5*k+4), k=0..200), x, 101):
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MATHEMATICA
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CoefficientList[Series[Product[1 - x^(5k + 4), {k, 0, 100}], {x, 0, 100}], x] (* Indranil Ghosh, Mar 25 2017 *)
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PROG
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(PARI) Vec(prod(k=0, 100, 1 - x^(5*k + 4)) + O(x^101)) \\ Indranil Ghosh, Mar 25 2017
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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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