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A256442 Denominators of sqrt(2) * Integral_{x=0..sqrt(1/3)} 1/(1-x^2)^(n+3/2) dx. 2
1, 6, 60, 280, 5040, 22176, 192192, 823680, 28005120, 118243840, 141892608, 593369088, 9889484800, 41079398400, 2382605107200, 9848101109760, 649974673244160, 2676366301593600, 22005678479769600, 90339101127475200, 1481561258490593280, 6067346106199572480 (list; graph; refs; listen; history; text; internal format)
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: A232181 A121287 A069072 * A296317 A292061 A074441

Adjacent sequences:  A256439 A256440 A256441 * A256443 A256444 A256445

KEYWORD

nonn,frac

AUTHOR

Alois P. Heinz, Mar 29 2015

STATUS

approved

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Last modified April 15 21:48 EDT 2021. Contains 343007 sequences. (Running on oeis4.)