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Search: id:A146494
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| A146494 |
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Decimal expansion of Product_{q in A014612} (1-1/(q^4*(q-1))). |
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+0
1
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| 9, 9, 9, 9, 5, 9, 6, 4, 3, 4, 7, 6, 3, 9, 2, 5, 0, 7, 1, 6, 7, 5, 0, 5, 9, 4, 1, 2, 1, 8, 7, 8, 3, 9, 8, 4, 6, 9, 7, 6, 2, 9, 8, 7, 3, 3, 5, 1, 5, 5, 3, 8, 9, 6, 9, 6, 9
(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 A065416.
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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 at r=4, k=3. [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=4, where P_k(s) are the k-almost prime zeta functions of arXiv:0803.0900.
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EXAMPLE
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0.99995964347639250716750... = (1-1/28672)*(1-1/228096)*(1-1/1784592)*...
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CROSSREFS
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Sequence in context: A111659 A102819 A111664 this_sequence A111691 A093409 A111692
Adjacent sequences: A146491 A146492 A146493 this_sequence A146495 A146496 A146497
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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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