A335751 a(n) = denominator(Bernoulli(2*n)*(1/2 - n)! / sqrt(Pi)).

2, 6, 15, 63, 225, 693, 1289925, 4455, 34459425, 808782975, 5685805125, 4106936925, 18767808934875, 72977109975, 491292329653125, 305714614450620375, 1578522255175490625, 33864491287501875, 6076788748684677645496875, 34996278233163121875, 55478375013295336399171875

Offset

0,1

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = denominator(-2*n*Zeta(1 - 2*n)*(1/2 - n)! / sqrt(Pi)) for n >= 1.

Example

r(n) = 1/2, 1/6, 1/15, 2/63, 4/225, 8/693, 11056/1289925, 32/4455, ...

Maple

a := n -> bernoulli(2*n)*(1/2 - n)! / sqrt(Pi):
seq(denom(simplify(a(n))), n = 0..21);

Crossrefs

Cf. A335750 (numerator), A000367/A002445, A004193.

Sequence in context: A242792 A216811 A351900 * A307180 A009455 A244443

Adjacent sequences: A335748 A335749 A335750 * A335752 A335753 A335754

Keyword

nonn,frac

Author

Peter Luschny, Jun 20 2020

Status

approved