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Search: id:A090598
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| A090598 |
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Numerator of ((integral_{x = 0..1/2} 1/(1+x^2)^(n + 1/2) dx) * sqrt(1/5)). |
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1
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| 1, 14, 328, 10800, 458880, 23911680, 1477278720, 105623562240, 8582728089600, 781478859571200, 78834419151667200, 8729454895025356800, 1052840115930503577600, 137399767923711541248000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Denominator is b(n)=5^(n-1)*(2*n)!/(n!*2^n). E.g. b(3)=375.
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EXAMPLE
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E.g. a(3) = 328 since f(n) = 328/375.
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MATHEMATICA
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f[n_] := (5^(n - 1/2)(2n - 1)!!Integrate[1/(1 + x^2)^(n + 1/2), {x, 0, 1/2}]); Table[ f[n], {n, 1, 15}] (from Robert G. Wilson v Feb 27 2004)
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CROSSREFS
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Sequence in context: A034912 A035018 A133130 this_sequence A060075 A035273 A020143
Adjacent sequences: A090595 A090596 A090597 this_sequence A090599 A090600 A090601
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KEYWORD
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nonn,frac
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AUTHOR
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Al Hakanson (hawkuu(AT)excite.com), Feb 25 2004
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 27 2004
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