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Search: id:A146482
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| A146482 |
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Decimal expansion of Product_{q in A001358} (1-1/(q*(q-1))). |
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+0
2
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| 8, 3, 9, 0, 4, 2, 1, 5, 4, 2, 7, 4, 4, 6, 8, 6, 0, 0, 7, 6, 8, 4, 6, 2, 1, 1, 1, 1, 9, 4, 5, 4, 1, 2, 5, 4, 9, 2, 8, 3, 0, 7, 1, 6, 6, 7, 6, 0, 8, 8, 2, 7, 3, 3, 0, 0, 0
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Semiprime analog of A005596.
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LINKS
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R. J. Mathar, Hardy-Littlewood constants embedded into infinite products over all positive integers, arXiv:0903.2514 [math.NT], Table 3 third line. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 28 2009]
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FORMULA
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The logarithm is -sum_{s>=2} sum_{j=1..floor[s/(1+r)]} binomial(s-r*j-1,j-1)*P_2(s)/j at r=1, where P_k(s) are the k-almost prime zeta functions of arXiv:0803.0900.
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EXAMPLE
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0.839042154274468600768... = (1-1/12)*(1-1/30)*(1-1/72)*(1-1/90)*(1-1/182)*..
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CROSSREFS
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Sequence in context: A099724 A024568 A166202 this_sequence A019938 A058265 A135005
Adjacent sequences: A146479 A146480 A146481 this_sequence A146483 A146484 A146485
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KEYWORD
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nonn,cons,less
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AUTHOR
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 13 2009
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