login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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))). 1
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 5 18:32 EST 2021. Contains 349557 sequences. (Running on oeis4.)