A085116 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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