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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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0
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 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
| 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
| 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
| Equals 0.5516932976569991844397310239713435781315...
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CROSSREFS
| Sequence in context: A190101 A097566 A014287 * A011094 A204005 A075298
Adjacent sequences: A154942 A154943 A154944 * A154946 A154947 A154948
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KEYWORD
| cons,nonn
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 17 2009
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