Search: id:A115964
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%I A115964
%S A115964 8,216,27000,9261000,12326391000,27081081027000,133049351085651000,
%T A115964 912585499096480209000,11103427767506874702903000,
%U A115964 270801499821725167129101267000,8067447481189014453943055845197000
%N A115964 Denominator of Sum[i=1..n] 1/p(i)^3, p(i) = i-th prime.
%C A115964 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.
%C A115964 Also the primorials cubed. [From Reikku Kulon (reikku(AT)gmail.com), 
               Sep 18 2008]
%F A115964 a(n) = Denominator of Sum[i=1..n] 1/A000040(i)^3.
%F A115964 a(n) = A002110(n)^3 [From Reikku Kulon (reikku(AT)gmail.com), Sep 18 
               2008]
%e A115964 1/8, 35/216, 4591/27000, 1601713/9261000, 2141141003/12326391000, 4716413174591/
               27081081027000.
%t A115964 a[n_]:=Product[Prime[i]^3, {i, 1, n}]; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Dec 05 2008]
%Y A115964 Cf. A000040, A075986/A075987, A106830/A034386, A115963.
%Y A115964 Cf. A002110, A061742, A100778 [From Reikku Kulon (reikku(AT)gmail.com), 
               Sep 18 2008]
%Y A115964 Sequence in context: A024289 A009106 A000442 this_sequence A055350 A006919 
               A013377
%Y A115964 Adjacent sequences: A115961 A115962 A115963 this_sequence A115965 A115966 
               A115967
%K A115964 easy,frac,nonn
%O A115964 1,1
%A A115964 Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 14 2006

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