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A115963 Numerator of Sum[i=1..n] 1/p(i)^3, p(i) = i-th prime. 5
1, 35, 4591, 1601713, 2141141003, 4716413174591, 23198819007792583, 159253748925534977797, 1938552948676080555065099, 47290471293028435532185602511, 1409101231790431848106470385672201 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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.

LINKS

Table of n, a(n) for n=1..11.

FORMULA

a(n) = Numerator of Sum[i=1..n] 1/A000040(i)^3.

EXAMPLE

1/8, 35/216, 4591/27000, 1601713/9261000, 2141141003/12326391000, 4716413174591/27081081027000.

CROSSREFS

Cf. A000040, A075986/A075987, A106830/A034386.

Sequence in context: A210314 A294851 A266053 * A212024 A231914 A202067

Adjacent sequences:  A115960 A115961 A115962 * A115964 A115965 A115966

KEYWORD

easy,frac,nonn

AUTHOR

Jonathan Vos Post, Mar 14 2006

STATUS

approved

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Last modified January 28 00:32 EST 2020. Contains 331313 sequences. (Running on oeis4.)