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Search: id:A089342
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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
1
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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; listen)
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OFFSET
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0,2
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EXAMPLE
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a(3) = 467
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MATHEMATICA
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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
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1 6 60 280 5040 are the denominators.
Adjacent sequences: A089339 A089340 A089341 this_sequence A089343 A089344 A089345
Sequence in context: A013522 A139951 A141872 this_sequence A075137 A099668 A053128
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KEYWORD
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nonn
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AUTHOR
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Al Hakanson (hawkuu(AT)excite.com), Dec 26 2003
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 27 2004
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