|
|
A259853
|
|
Denominators of the terms of Lehmer's series S_2(2), where S_k(x) = Sum_{n>=1} n^k*x^n/binomial(2*n, n).
|
|
2
|
|
|
1, 3, 5, 35, 63, 77, 429, 6435, 12155, 46189, 88179, 676039, 1300075, 5014575, 215441, 300540195, 583401555, 756261275, 4418157975, 6892326441, 22427411435, 263012370465, 514589420475, 895766768975, 15801325804719, 61989816618513, 121683714103007
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
The first 14 terms are identical to A052468.
|
|
LINKS
|
|
|
FORMULA
|
a(n) = denominator(n^2*2^n/C(2*n,n)).
|
|
EXAMPLE
|
1/1, 8/3, 18/5, 128/35, 200/63, 192/77, 784/429, ... = A259852/A259853.
|
|
MATHEMATICA
|
Table[2^n*n^2/Binomial[2*n, n] // Denominator, {n, 1, 40}]
|
|
PROG
|
(PARI) vector(40, n, denominator(n^2*2^n/binomial(2*n, n))) \\ Michel Marcus, Jul 07 2015
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|