Revision History for A115964
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strikethrough text is a deletion.)
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Showing entries 11-13
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#3 by Russ Cox at Fri Mar 30 18:40:36 EDT 2012
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| AUTHOR
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_Jonathan Vos Post (jvospost3(AT)gmail.com), _, Mar 14 2006
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Discussion
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| Fri Mar 30
| 18:40
| OEIS Server: https://oeis.org/edit/global/228
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#2 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009
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| COMMENTS
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Also the primorials cubed. [From Reikku Kulon (reikku(AT)gmail.com), Sep 18 2008]
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| FORMULA
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a(n) = A002110(n)^3 [From Reikku Kulon (reikku(AT)gmail.com), Sep 18 2008]
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| MATHEMATICA
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a[n_]:=Product[Prime[i]^3, {i, 1, n}]; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 05 2008]
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| CROSSREFS
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Cf. A002110, A061742, A100778 [From Reikku Kulon (reikku(AT)gmail.com), Sep 18 2008]
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| KEYWORD
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easy,frac,nonn,new
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| AUTHOR
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Jonathan Vos Post (jvospost2jvospost3(AT)yahoogmail.com), Mar 14 2006
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#1 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006
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| NAME
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Denominator of Sum[i=1..n] 1/p(i)^3, p(i) = i-th prime.
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| DATA
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8, 216, 27000, 9261000, 12326391000, 27081081027000, 133049351085651000, 912585499096480209000, 11103427767506874702903000, 270801499821725167129101267000, 8067447481189014453943055845197000
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| OFFSET
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1,1
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| COMMENTS
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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.
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| FORMULA
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a(n) = Denominator of Sum[i=1..n] 1/A000040(i)^3.
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| EXAMPLE
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1/8, 35/216, 4591/27000, 1601713/9261000, 2141141003/12326391000, 4716413174591/27081081027000.
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| CROSSREFS
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Cf. A000040, A075986/A075987, A106830/A034386, A115963.
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| KEYWORD
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easy,frac,nonn
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| AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 14 2006
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| STATUS
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approved
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