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Search: id:A119723
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| A119723 |
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Numerator of Sum[ (-1)^(k-1) * 1/(Prime[k]-1)^2, {k,1,n}]. |
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+0
1
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| 1, 3, 13, 113, 2861, 709, 45601, 408809, 49595489, 2426258561, 485934733, 485460413, 2429223061, 2427480661, 1284905668069, 217047437215261, 182605590283392901, 36508279615059377, 36518889897389297
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. Prime Sums.
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FORMULA
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a(n) = numerator[ Sum[ (-1)^(k-1) * 1/(Prime[k]-1)^2, {k,1,n}]].
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MATHEMATICA
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Numerator[Table[Sum[(-1)^(i-1)*1/(Prime[i]-1)^2, {i, 1, n}], {n, 1, 30}]]
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CROSSREFS
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Cf. A119686, A006093, A000040, A086242.
Sequence in context: A062447 A053583 A077713 this_sequence A093011 A057865 A121921
Adjacent sequences: A119720 A119721 A119722 this_sequence A119724 A119725 A119726
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KEYWORD
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frac,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Jun 13 2006
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