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A115963
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Numerator of Sum[i=1..n] 1/p(i)^3, p(i) = i-th prime.
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2
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1, 35, 4591, 1601713, 2141141003, 4716413174591, 23198819007792583, 159253748925534977797, 1938552948676080555065099, 47290471293028435532185602511, 1409101231790431848106470385672201
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Denominators = A115964. See also: A024451 Numerator of Sum 1/prime(i), i=1..n. A002110 Primorial [denominator of Numerator of Sum 1/prime(i), i=1..n]. A061015 Numerator of Sum_{i=1..n} 1/p(i)^2, p(i) = i-th prime.
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FORMULA
| a(n) = Numerator of Sum[i=1..n] 1/A000040(i)^3.
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EXAMPLE
| 1/8, 35/216, 4591/27000, 1601713/9261000, 2141141003/12326391000, 4716413174591/27081081027000.
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CROSSREFS
| Cf. A000040, A075986/A075987, A106830/A034386.
Sequence in context: A184124 A201725 A202578 * A202067 A202881 A025036
Adjacent sequences: A115960 A115961 A115962 * A115964 A115965 A115966
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KEYWORD
| easy,frac,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 14 2006
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