A085115 Numerator of G(n)=sum(k=1,n,1/2^k/2*sum(j=0,k-1,1/binomial(2^(k-j)+j,j))).

1, 5, 241, 1561, 96029, 8580709, 1707931151, 147403551109, 1271289370866337, 18501833565256581935, 1745474502799550774494057, 35091068020856449153974443861, 12840452368911027932139293073746831113

Offset

0,2

References

David H. Bailey and Richard E. Crandall, Random Generators and Normal Numbers, 2000.

Links

Table of n, a(n) for n=0..12.

M. Beeler, R. W. Gosper and R. Schroeppel, HAKMEM, Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972, Item 120, page 55.  Also HTML transcription.

Formula

lim n-->oo G(n) = Gamma constant = 0.5772....

Prog

(PARI) a(n)=numerator(sum(k=1, n, 1/2^k/2*sum(j=0, k-1, 1/binomial(2^(k-j)+j, j))))

Crossrefs

Cf. A085116 (denominators).

Sequence in context: A230885 A142732 A242625 * A317165 A327582 A144999

Adjacent sequences: A085112 A085113 A085114 * A085116 A085117 A085118

Keyword

frac,nonn

Author

Benoit Cloitre, Aug 10 2003

Status

approved