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Search: id:A154945
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| A154945 |
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Decimal expansion of sum_p 1/(p^2-1), summed over the primes p = A000040. |
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1
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| 5, 5, 1, 6, 9, 3, 2, 9, 7, 6, 5, 6, 9, 9, 9, 1, 8, 4, 4, 3, 9, 7, 3, 1, 0, 2, 3, 9, 7, 1, 3, 4, 3, 5, 7, 8, 1, 3, 1, 5, 0, 0, 3, 7, 7, 7, 7, 8, 6, 2, 8, 2, 5, 2, 2, 3, 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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By geometric series expansion, the same as the sum over the prime zeta function at even arguments, P(2i), i=1,2,....
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LINKS
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J. Grah, Comportement moyen du cardinal de certains ensembles de facteurs premiers, Monatsh. Math. 118 (1994) 91-109, Corollary 6.1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 03 2009]
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FORMULA
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Equals sum_{k=1,2,..} 1/A084920(k) = sum_{i=1,2,..} P(2i) = A085348+A085964+A085966+A085968+... = A152447+A085548-A154932.
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EXAMPLE
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Equals 0.5516932976569991844397310239713435781315...
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CROSSREFS
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Sequence in context: A082956 A097566 A014287 this_sequence A011094 A075298 A060058
Adjacent sequences: A154942 A154943 A154944 this_sequence A154946 A154947 A154948
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KEYWORD
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cons,nonn
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AUTHOR
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 17 2009
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