|
Search: id:A145565
|
|
|
| A145565 |
|
Denominators of partial sums of a certain series of inverse central binomial coefficients. |
|
+0
2
|
|
| 1, 4, 36, 720, 25200, 10800, 5821200, 302702400, 908107200, 15437822400, 3226504881600, 248192683200, 964724959598400, 964724959598400, 1607874932664000, 186513492189024000, 98292610383615648000, 1605505432763232000, 16808036375598275808000, 124379469179427240979200
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
See A145564 for the numerators, a reference and a W. Lang link.
|
|
FORMULA
|
a(n)=denominator(r(n)), with the rationals (in lowest terms) r(n):=sum(1/(binomial(2*k,k)*(k+1)),k=0..n).
|
|
EXAMPLE
|
Rationals r(n) (in lowest terms):[1, 5/4, 47/36, 949/720, 33287/25200, 14273/10800, 7694047/5821200,...].
|
|
CROSSREFS
|
Sequence in context: A029989 A163887 A156630 this_sequence A126152 A009446 A134052
Adjacent sequences: A145562 A145563 A145564 this_sequence A145566 A145567 A145568
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Oct 17 2008
|
|
|
Search completed in 0.002 seconds
|
