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Search: id:A118205
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| A118205 |
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Euler transform of the negative of the Liouville function. |
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+0
4
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| 1, -1, 1, 0, -1, 2, -2, 2, 0, -2, 3, -2, 1, 2, -3, 3, -2, 0, 3, -2, 3, -2, 0, 2, -2, 3, -1, 0, 1, -2, 5, 0, 0, 1, -2, 1, 1, 2, 0, 1, -2, 1, 4, -1, 4, -2, -3, 6, -2, 5, 6, -8, 6, -4, 2, 9, -8, 7, -4, -1, 11, -1, 5, 1, -8, 5, 2, 4, 7, -8, 4, 2, 1, 14, -2, 0, -1, -6, 19, 2, 5, 6, -15, 12, 1, 3, 18, -17, 1, 9, 0, 29, -4, -3, 4, -13, 14, 17, 2, 0, -4
(list; graph; listen)
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OFFSET
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0,6
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FORMULA
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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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MATHEMATICA
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nmax = 100; 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. A118206, A118207, A118208, A061020, A117208.
Sequence in context: A036476 A104994 A118664 this_sequence A130277 A109135 A059288
Adjacent sequences: A118202 A118203 A118204 this_sequence A118206 A118207 A118208
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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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