Search: id:A076265
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%I A076265
%S A076265 4,108,337500,277945762500,79301169838123235887500,
%T A076265 24018350267611933650627567399079537500,
%U A076265 19868946365457062696924774946056904675112420776003728137500
%N A076265 Product_{ i=1..n } prime(i)^prime(i).
%C A076265 Denominator of Sum[i=1..n] 1/(p(i)^p(i)), where p(i) = i-th prime. Numerators 
               = A117579. E.g. 1/4, 31/108, 96983/337500, 79870008269/277945762500, 
               22787845491220720044859/79301169838123235887500, ... - Jonathan Vos 
               Post (jvospost3(AT)gmail.com), Mar 29 2006
%C A076265 Equally, denominator of Sum[ (-1)^(k+1) * 1/p(k)^p(k), {k,1,n}], where 
               p(k) = Prime[k]. - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 
               22 2006
%C A076265 C = Sum[ (-1)^(k+1) * 1/Prime[k]^Prime[k], {k,1,Infinity} ] = 1/2^2 - 
               1/3^3 + 1/5^5 - 1/7^7 + 1/11^11 - 1/13^13 + ... A122147[n] is a decimal 
               expansion of C = 0.213281748700785698255627... - Alexander Adamchuk 
               (alex(AT)kolmogorov.com), Aug 22 2006
%e A076265 A122148[n] / A076265[n] begins 1/4, 23/108, 71983/337500, ... - Alexander 
               Adamchuk (alex(AT)kolmogorov.com), Aug 22 2006
%t A076265 Table[Denominator[Sum[1/Prime[k]^Prime[k],{k,1,n}]],{n,1,10}] - Alexander 
               Adamchuk (alex(AT)kolmogorov.com), Aug 22 2006
%Y A076265 Cf. A051674, A122147, A122148, A094289, A117579, A076265, A000040.
%Y A076265 Sequence in context: A061464 A107048 A002109 this_sequence A114876 A037980 
               A015100
%Y A076265 Adjacent sequences: A076262 A076263 A076264 this_sequence A076266 A076267 
               A076268
%K A076265 nonn,frac
%O A076265 1,1
%A A076265 Jeff Burch (gburch(AT)erols.com), Nov 23 2002
%E A076265 Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Apr 10 2006
%E A076265 Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 04 2008 at 
               the suggestion of R. J. Mathar

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