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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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1
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 3-almost prime analog of A005596.
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LINKS
| 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
| 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
| 0.9587521164357309277147402... = (1-1/56)*(1-1/132)*(1-1/306)*(1-1/380)*..
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CROSSREFS
| Sequence in context: A155692 A011203 A203081 * A090463 A191759 A010543
Adjacent sequences: A146480 A146481 A146482 * A146484 A146485 A146486
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KEYWORD
| nonn,cons,less
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 13 2009
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