|
|
A335539
|
|
a(n) = Denominator(-4*n^2*Zeta(1 - n)*Zeta(n)*(1 - 2^(1 - n)) / Pi^n) for n >= 2, a(0) = 0, a(1) = 1.
|
|
3
|
|
|
1, 1, 9, 1, 1350, 1, 52920, 1, 1134000, 1, 11290752, 1, 74373979680000, 1, 8006169600, 1, 12147360825600000, 1, 56625794240311296000, 1, 3311787858630451200000, 1, 451287524451778560000, 1, 48168123888308960600064000000, 1, 10738530029998374912000000, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = denominator(n*Bernoulli(n)*Zeta(n)*(4-2^(3-n))/Pi^n)) for n >= 2.
|
|
EXAMPLE
|
Rational sequence starts: 0, 1, 1/9, 0, -7/1350, 0, 31/52920, 0, -127/1134000, 0, 365/11290752, ...
|
|
MAPLE
|
a := s -> `if`(s = 1 or s = 0, s, -4*s^2*Zeta(1 - s)*Zeta(s)*(1 - 2^(1 - s))/Pi^s):
seq(denom(a(s)), s = 0..34);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|