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Search: id:A094187
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| A094187 |
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Numerator of I(n)=integral_{x=1..9/8} (sqrt(x^2-1)/x)^(2*n) dx. |
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+0
1
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| 1, 35, 2271, 218793, 28137345, 4539496635, 882318678255, 200816025228945, 52409174427470385, 15432871959522241875, 5062570863876165491775, 1830983671801954093988025, 723885864573750477727953825
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OFFSET
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1,2
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COMMENT
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The denominator is b(n)=8*9^(2*n-1)*(2*n)!/(n!*2^n).
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EXAMPLE
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I(3)=2271/7085880. b(3)=7085880
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MATHEMATICA
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a[n_] := (8*9^(2*n - 1)*(2*n)!/(n!*2^n))Integrate[(Sqrt[(x^2 - 1)]/x)^(2n), {x, 1, 9/8}]; Table[ a[n], {n, 13}] (from Robert G. Wilson v May 29 2004)
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CROSSREFS
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Adjacent sequences: A094184 A094185 A094186 this_sequence A094188 A094189 A094190
Sequence in context: A135923 A130005 A001825 this_sequence A115963 A025036 A030261
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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), May 24 2004
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 29 2004
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