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A118207
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Expansion of Product_{k>=1}(1 + x^k)^lambda(k) where lambda(k) is the Liouville function, A008836.
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7
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1, 1, -1, -2, 1, 2, 0, -2, -2, 0, 5, 2, -7, -6, 7, 9, 0, -10, -9, 4, 17, 2, -18, -12, 14, 21, 5, -26, -25, 14, 41, 4, -38, -35, 18, 53, 23, -56, -54, 31, 86, 15, -78, -85, 34, 112, 41, -110, -102, 49, 158, 40, -138, -150, 68, 195, 68, -191, -190, 69, 279, 89, -217, -253, 102, 327, 122, -336, -335, 118, 462, 142, -361, -430, 170
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..74.
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MATHEMATICA
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nmax = 80; lambda[k_Integer?Positive] := If[ k > 1, (-1)^Total[ Part[Transpose[FactorInteger[k]], 2] ], 1 ]; CoefficientList[ Series[ Product[ (1 + x^k)^lambda[k], {k, 1, nmax} ], {x, 0, nmax} ], x ]
(* From version 7 on *) nmax = 80; CoefficientList[ Series[ Product[ (1 + x^k)^LiouvilleLambda[k], {k, 1, nmax}], {x, 0, nmax}], x] (* Jean-François Alcover, Jul 30 2013 *)
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CROSSREFS
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Cf. A117210, A118205, A118206, A118208, A118209.
Sequence in context: A112181 A151676 A151684 * A327274 A055378 A217921
Adjacent sequences: A118204 A118205 A118206 * A118208 A118209 A118210
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KEYWORD
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sign,easy
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AUTHOR
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Stuart Clary, Apr 15 2006
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STATUS
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approved
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