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A300415
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Expansion of Product_{k>=2} (1 + x^k)/(1 - x^k).
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6
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1, 0, 2, 2, 4, 6, 10, 14, 22, 32, 46, 66, 94, 130, 182, 250, 340, 462, 622, 830, 1106, 1462, 1922, 2518, 3282, 4256, 5502, 7082, 9078, 11602, 14774, 18746, 23722, 29922, 37630, 47202, 59044, 73662, 91682, 113830, 140994, 174262, 214906, 264462, 324802, 398110, 487018, 594694
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OFFSET
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0,3
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COMMENTS
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Also number of overpartitions of n without a 1. - George Beck, Jan 25 2021
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LINKS
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FORMULA
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G.f.: Product_{k>=2} (1 + x^k)/(1 - x^k).
G.f.: (1 - x)/((1 + x)*theta_4(x)), where theta_4() is the Jacobi theta function.
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MAPLE
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g:= (1-x)/((1+x)*JacobiTheta4(0, x)):
S:=series(g, x, 101):
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MATHEMATICA
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nmax = 47; CoefficientList[Series[Product[(1 + x^k)/(1 - x^k), {k, 2, nmax}], {x, 0, nmax}], x]
nmax = 47; CoefficientList[Series[(1 - x)/((1 + x) EllipticTheta[4, 0, x]), {x, 0, nmax}], x]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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