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Search: id:A115964
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| A115964 |
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Denominator of Sum[i=1..n] 1/p(i)^3, p(i) = i-th prime. |
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+0
2
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| 8, 216, 27000, 9261000, 12326391000, 27081081027000, 133049351085651000, 912585499096480209000, 11103427767506874702903000, 270801499821725167129101267000, 8067447481189014453943055845197000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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) = Denominator of Sum[i=1..n] 1/A000040(i)^3.
a(n) = A002110(n)^3 [From Reikku Kulon (reikku(AT)gmail.com), Sep 18 2008]
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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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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. A000040, A075986/A075987, A106830/A034386, A115963.
Cf. A002110, A061742, A100778 [From Reikku Kulon (reikku(AT)gmail.com), Sep 18 2008]
Sequence in context: A024289 A009106 A000442 this_sequence A055350 A006919 A013377
Adjacent sequences: A115961 A115962 A115963 this_sequence A115965 A115966 A115967
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 14 2006
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