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A089342
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Numerator of sqrt(2) * (integral_{x=0 to sqrt 1/3} 1/(1-x^2)^(n+3/2) dx).
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0
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1, 7, 83, 467, 10307, 56537, 620695, 3421003, 151692131, 846015389, 1356505339, 7657542115, 173845651297, 991488244363, 79507898457503, 457142023114427, 42194359402773923, 244118009518249157, 2831917415062783681
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| a(3) = 467
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MATHEMATICA
| f[n_] := Numerator[ Simplify[ Sqrt[2]*Integrate[1/(1 - x^2)^(n + 1/2), {x, 0, Sqrt[1/3]}]]]; Table[ f[n], {n, 1, 20}] (from Robert G. Wilson v Feb 27 2004)
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CROSSREFS
| 1 6 60 280 5040 are the denominators.
Sequence in context: A191804 A139951 A141872 * A075137 A099668 A187649
Adjacent sequences: A089339 A089340 A089341 * A089343 A089344 A089345
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KEYWORD
| nonn
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AUTHOR
| Al Hakanson (hawkuu(AT)excite.com), Dec 26 2003
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 27 2004
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