Search: id:A110626
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%I A110626
%S A110626 6,6,14,504,27720,360360,360360,765765,765765,765765,1601145,1601145,
%T A110626 369495,3061530,94907430,16703707680,116925953760,4326260289120,
%U A110626 1068586291412640,43812037947918240,1883917631760484320
%N A110626 Denominator of b(n) = -Sum(k=1 to n, A037861(k)/((2k)(2k+1))), where 
               A037861(k) = (number of 0's) - (number of 1's) in binary representation 
               of k.
%C A110626 Denominators of partial sums of a series for log 4/Pi. Numerators are 
               A110625.
%D A110626 J. Sondow, Double integrals for Euler's constant and ln(4/Pi) and an 
               analog of Hadjicostas's formula, Amer. Math. Monthly 112 (2005) 61-65.
%H A110626 J. Sondow, <a href="http://arXiv.org/abs/math.NT/0508042">New Vacca-Type 
               Rational Series for Euler's Constant and Its "Alternating" Analog 
               ln(4/Pi)</a>
%F A110626 lim(n -> infinity, b(n)) = log 4/Pi = 0.24156...
%e A110626 a(3) = 14 because b(3) = 1/6 + 0 + 1/21 = 3/14.
%Y A110626 Cf. A037861, A073099, A094640, A110625.
%Y A110626 Sequence in context: A115014 A141378 A003871 this_sequence A072695 A085596 
               A107620
%Y A110626 Adjacent sequences: A110623 A110624 A110625 this_sequence A110627 A110628 
               A110629
%K A110626 easy,frac,nonn
%O A110626 1,1
%A A110626 Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 01 2005

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