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Search: id:A122147
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| A122147 |
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Decimal expansion of Sum[ (-1)^(k+1) * 1/p(k)^p(k) ], where p(k) = Prime[k]. |
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3
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| 2, 1, 3, 2, 8, 1, 7, 4, 8, 7, 0, 0, 7, 8, 5, 6, 9, 8, 2, 5, 5, 6, 2, 7, 4, 8, 1, 3, 6, 9, 8, 4, 8, 4, 3, 6, 0, 2, 7, 7, 2, 7, 9, 7, 2, 5, 3, 2, 2, 4, 6, 4, 1, 0, 0, 7, 1, 4, 2, 2, 2, 2, 0, 1, 2, 3, 8, 3, 9, 5, 6, 7, 6, 0, 0, 3, 7, 2, 6, 9, 0, 0, 5, 6, 3, 7, 1, 2, 2, 0, 1, 1, 8, 6, 1, 8, 8, 2, 3, 4, 4, 1, 5, 5, 5
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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C = Sum[ (-1)^(k+1) * 1/Prime[k]^Prime[k], {k,1,Infinity} ] = 1/2^2 - 1/3^3 + 1/5^5 - 1/7^7 + 1/11^11 - 1/13^13 + ... Partial sums are A122148[n] / A122149[n] = Sum[ (-1)^(k+1) * 1/Prime[k]^Prime[k], {k,1,n} ] = 1/4, 23/108, 71983/337500, ...
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EXAMPLE
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C = 0.2132817487007856982556274813698484360277279725322464100714222201238395676003\
726900563712201186188234415559844581411471306301650311286030077813464608267160\
801494597797561591251174806253914566160177882...
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CROSSREFS
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Cf. A051674, A122148, A122149, A094289, A117579, A076265, A000040.
Sequence in context: A101709 A005247 A135259 this_sequence A125210 A098434 A081446
Adjacent sequences: A122144 A122145 A122146 this_sequence A122148 A122149 A122150
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KEYWORD
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cons,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 22 2006
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