A256442 Denominators of sqrt(2) * Integral_{x=0..sqrt(1/3)} 1/(1-x^2)^(n+3/2) dx.

1, 6, 60, 280, 5040, 22176, 192192, 823680, 28005120, 118243840, 141892608, 593369088, 9889484800, 41079398400, 2382605107200, 9848101109760, 649974673244160, 2676366301593600, 22005678479769600, 90339101127475200, 1481561258490593280, 6067346106199572480

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Maple

a:= n-> denom(sqrt(2)*int(1/(1-x^2)^(n+3/2), x=0..sqrt(1/3))):
seq(a(n), n=0..20);

Mathematica

Denominator[Table[Sqrt[2/3] * Hypergeometric2F1[1/2, n+3/2, 3/2, 1/3], {n, 0, 20}]] (* Vaclav Kotesovec, Apr 08 2015 *)

Crossrefs

Numerators are in A089342.

Sequence in context: A361761 A361787 A361387 * A296317 A292061 A074441

Adjacent sequences: A256439 A256440 A256441 * A256443 A256444 A256445

Keyword

nonn,frac

Author

Alois P. Heinz, Mar 29 2015

Status

approved