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A269155
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Expansion of Product_{k>=1} (1 - k*x^k)/(1 + 2*x^k).
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2
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1, -3, 2, -5, 17, -23, 43, -87, 178, -378, 700, -1402, 2837, -5651, 11295, -22592, 45397, -90587, 181187, -362566, 724949, -1449986, 2900068, -5801059, 11601675, -23204798, 46409816, -92817126, 185633688, -371270603, 742544062, -1485079884, 2970162411
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OFFSET
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0,2
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LINKS
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Vaclav Kotesovec, Table of n, a(n) for n = 0..3300
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FORMULA
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a(n) ~ c * (-2)^n, where c = Product_{k>=1} ((-2)^k - k)/((-2)^k - 1) = 0.691544539061740396647761051109300225267201237557458470928297389967...
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MATHEMATICA
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nmax = 50; CoefficientList[Series[Product[(1-k*x^k)/(1+2*x^k), {k, 1, nmax}], {x, 0, nmax}], x]
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CROSSREFS
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Cf. A269144, A269153, A269154.
Sequence in context: A301493 A214502 A077039 * A103938 A304534 A085973
Adjacent sequences: A269152 A269153 A269154 * A269156 A269157 A269158
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KEYWORD
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sign
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AUTHOR
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Vaclav Kotesovec, Feb 20 2016
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STATUS
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approved
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