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A115964 Denominator of Sum_{i=1..n} 1/prime(i)^3. 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 are in A115963.
Also the primorials cubed. - Reikku Kulon, Sep 18 2008
LINKS
FORMULA
a(n) = denominator of Sum_{i=1..n} 1/A000040(i)^3.
a(n) = A002110(n)^3. - 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}]; (* Vladimir Joseph Stephan Orlovsky, Dec 05 2008 *)
CROSSREFS
Cf. A115963 (numerators).
Cf. A024451 (numerator of sum_{i=1..n} 1/prime(i)), A002110 (primorial, also denominator of sum_{i=1..n} 1/prime(i)), A061015 (numerator of sum_{i=1..n} 1/prime(i)^2).
Cf. A061742, A100778. - 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 11:14 EDT 2024. Contains 375543 sequences. (Running on oeis4.)