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A115964 revision #5

A115964 Denominator of Sum[i=1..n] 1/p(i)^3, p(i) = i-th prime. 11
8, 216, 27000, 9261000, 12326391000, 27081081027000, 133049351085651000, 912585499096480209000, 11103427767506874702903000, 270801499821725167129101267000, 8067447481189014453943055845197000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Numerators = A115963. 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.
Also the primorials cubed. [From Reikku Kulon, Sep 18 2008]
LINKS
FORMULA
a(n) = Denominator of Sum[i=1..n] 1/A000040(i)^3.
a(n) = A002110(n)^3 [From Reikku Kulon, Sep 18 2008]
EXAMPLE
1/8, 35/216, 4591/27000, 1601713/9261000, 2141141003/12326391000, 4716413174591/27081081027000.
MATHEMATICA
a[n_]:=Product[Prime[i]^3, {i, 1, n}]; [From Vladimir Joseph Stephan Orlovsky, Dec 05 2008]
CROSSREFS
Cf. A002110, A061742, A100778 [From Reikku Kulon, Sep 18 2008]
Sequence in context: A342598 A226524 A359412 * A245591 A247539 A188680
KEYWORD
easy,frac,nonn
AUTHOR
Jonathan Vos Post, Mar 14 2006
STATUS
approved

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Last modified August 30 15:13 EDT 2024. Contains 375545 sequences. (Running on oeis4.)