|
|
A276595
|
|
Denominator of the rational part of the sum of reciprocals of even powers of even numbers, i.e., Sum_{k>=1} 1/(2*k)^(2*n).
|
|
4
|
|
|
24, 1440, 60480, 2419200, 95800320, 2615348736000, 149448499200, 21341245685760000, 10218188434341888000, 1605715325396582400000, 28202200078783610880000, 3387648273463487338905600000, 372269041039943663616000000, 75786531374911731038945280000000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Denominator of Bernoulli(2*n)/(2*(2*n)!). - Robert Israel, Sep 18 2016
|
|
LINKS
|
|
|
FORMULA
|
|
|
MAPLE
|
seq(denom(sum(1/(2*k)^(2*n), k=1..infinity)/Pi^(2*n)), n=1..24);
seq(denom(bernoulli(2*n)/2/(2*n)!), n=1..24); # Robert Israel, Sep 18 2016
|
|
MATHEMATICA
|
Table[Denominator[Zeta[2*n]/(2*Pi)^(2*n)], {n, 1, 30}] (* Terry D. Grant, Jun 19 2018 *)
|
|
PROG
|
(PARI) a(n) = denominator(bernfrac(2*n)/(2*(2*n)!)); \\ Michel Marcus, Jul 05 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|