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Search: id:A118207
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| A118207 |
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G.f.: A(x) = product_{k>=1}(1 + x^k)^lambda(k) where lambda(k) is the Liouville function, A008836. |
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+0
5
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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
(list; graph; listen)
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OFFSET
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0,4
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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 ]
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CROSSREFS
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Cf. A118205, A118206, A118208, A118209, A117210.
Sequence in context: A077883 A058666 A112181 this_sequence A055378 A029338 A048272
Adjacent sequences: A118204 A118205 A118206 this_sequence 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 (clary(AT)uakron.edu), Apr 15, 2006
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