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Search: id:A122148
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| A122148 |
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Numerator of Sum[ (-1)^(k+1) * 1/p(k)^p(k), {k,1,n}], where p(k) = Prime[k]. |
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+0
3
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| 1, 23, 71983, 59280758269, 16913492177093188294859, 5122675745984257357873512804013239827, 4237683625666802603266159755806379107958975382128522814879
(list; graph; listen)
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OFFSET
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1,2
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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 + ... A122147[n] is a decimal expansion of C = 0.213281748700785698255627...
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FORMULA
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a(n) = Numerator[ Sum[ (-1)^(k+1) * 1/Prime[k]^Prime[k], {k,1,n} ] ].
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EXAMPLE
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a[n] / A076265[n] begins 1/4, 23/108, 71983/337500, ...
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MATHEMATICA
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Table[Numerator[Sum[(-1)^(k+1)*1/Prime[k]^Prime[k], {k, 1, n}]], {n, 1, 10}]
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CROSSREFS
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Cf. A051674, A122147, A094289, A117579, A076265, A000040.
Sequence in context: A028693 A033998 A101699 this_sequence A068736 A138763 A013772
Adjacent sequences: A122145 A122146 A122147 this_sequence A122149 A122150 A122151
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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), Aug 22 2006
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