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Search: id:A146483
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| A146483 |
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Decimal expansion of Product_{q in A014612} (1-1/(q*(q-1))). |
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+0
2
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| 9, 5, 8, 7, 5, 2, 1, 1, 6, 4, 3, 5, 7, 3, 0, 9, 2, 7, 7, 1, 4, 7, 4, 0, 2, 5, 6, 5, 7, 8, 9, 2, 8, 6, 1, 2, 6, 5, 9, 4, 9, 0, 4, 4, 8, 5, 0, 2, 3, 5, 9, 9, 0, 1, 5, 9, 2
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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3-almost prime 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 fourth 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_3(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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0.9587521164357309277147402... = (1-1/56)*(1-1/132)*(1-1/306)*(1-1/380)*..
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CROSSREFS
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Adjacent sequences: A146480 A146481 A146482 this_sequence A146484 A146485 A146486
Sequence in context: A155754 A117019 A011203 this_sequence A090463 A010543 A078086
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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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