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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
OFFSET
0,2
LINKS
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
KEYWORD
nonn,frac
AUTHOR
Alois P. Heinz, Mar 29 2015
STATUS
approved