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Search: id:A118206
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| A118206 |
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Euler transform of the Liouville function. |
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+0
5
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| 1, 1, 0, -1, 0, 0, 0, -1, -1, 0, 2, 0, -2, -2, 1, 2, 2, -2, -2, 0, 2, -1, -1, -2, 2, 5, 4, -5, -5, -2, 4, 2, -2, -7, 3, 8, 5, -7, -6, 1, 14, 4, -9, -14, 2, 5, 5, -10, -7, 6, 22, 3, -12, -20, 1, 15, 15, -16, -12, 4, 25, 6, -14, -31, 13, 33, 14, -39, -32, -6, 39, 15, -20, -31, 33, 41, 14, -53, -44, 3, 66, 12, -35, -51, 22, 48, 36, -60, -43, 21
(list; graph; listen)
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OFFSET
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0,11
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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. A118205, A118207, A118208, A061020, A117209.
Adjacent sequences: A118203 A118204 A118205 this_sequence A118207 A118208 A118209
Sequence in context: A129678 A023604 A060964 this_sequence A029314 A071635 A128664
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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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