A085116 Denominator of G(n)=sum(k=1,n,1/2^k/2*sum(j=0,k-1,1/binomial(2^(k-j)+j,j))).

4, 12, 480, 2880, 171360, 15079680, 2979744768, 256258050048, 2206253681888256, 32081134788337130496, 3025251010540191405772800, 60806680954426264344203059200, 22247876027117358528051602802320179200

Offset

0,1

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

Crossrefs

Cf. A085115 (numerators).

Sequence in context: A291098 A009506 A299808 * A104129 A144631 A009516

Adjacent sequences: A085113 A085114 A085115 * A085117 A085118 A085119

Keyword

frac,nonn

Author

Benoit Cloitre, Aug 10 2003

Status

approved