|
| |
|
|
A163929
|
|
Denominators of the higher order exponential integral constants alpha(2,n)
|
|
2
| |
|
|
1, 1, 16, 1296, 20736, 12960000, 4320000, 10372320000, 165957120000, 40327580160000, 40327580160000, 590436101122560000, 590436101122560000, 16863445484161436160000, 2409063640594490880000, 2409063640594490880000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| See A163927 for information about the alpha(k,n) constants.
|
|
|
FORMULA
| alpha(k,n) = (1/k)*sum(sum(p^(-2*(k-i)),p = 0..n-1)*alpha(i, n), i = 0..k-1) with alpha(0,n) = 1, with k = 2 and n => 1.
|
|
|
EXAMPLE
| alpha(k=2,n=1) = 0, alpha(k=2,2) = 1, alpha(k=2,3) = 21/16, alpha(k=2,4) = 1897/1296.
|
|
|
CROSSREFS
| A163928 equals the numerators of the alpha(2,n).
Sequence in context: A016828 A072161 A173544 * A072914 A007480 A186420
Adjacent sequences: A163926 A163927 A163928 * A163930 A163931 A163932
|
|
|
KEYWORD
| easy,frac,nonn
|
|
|
AUTHOR
| Johannes W. Meijer & Nico Baken (meijgia(AT)hotmail.com and n.h.g.baken(AT)tudelft.nl), Aug 13 2009, Aug 17 2009
|
| |
|
|
