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%I #12 May 30 2020 05:06:35
%S 1,5,241,1561,96029,8580709,1707931151,147403551109,1271289370866337,
%T 18501833565256581935,1745474502799550774494057,
%U 35091068020856449153974443861,12840452368911027932139293073746831113
%N Numerator of G(n)=sum(k=1,n,1/2^k/2*sum(j=0,k-1,1/binomial(2^(k-j)+j,j))).
%D David H. Bailey and Richard E. Crandall, Random Generators and Normal Numbers, 2000.
%H M. Beeler, R. W. Gosper and R. Schroeppel, <a href="https://dspace.mit.edu/handle/1721.1/6086">HAKMEM</a>, Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972, Item 120, page 55. Also <a href="http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item120">HTML transcription</a>.
%F lim n-->oo G(n) = Gamma constant = 0.5772....
%o (PARI) a(n)=numerator(sum(k=1,n,1/2^k/2*sum(j=0,k-1,1/binomial(2^(k-j)+j,j))))
%Y Cf. A085116 (denominators).
%K frac,nonn
%O 0,2
%A _Benoit Cloitre_, Aug 10 2003
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