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Search: id:A091993
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| A091993 |
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Numerator of I(n)=(integral_{x=0 to 1/3} (1+x^2)^n dx). E.g. I(3)= 85632/229635. The denominator is b(n)=(2*n+2)!*3^(2*n+1)/((n+1)!*2^(n+1)). E.g. b(3)=229635. |
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1
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| 1, 28, 1308, 85632, 7215504, 743895360, 90735698880, 12784048058880, 2043605420478720, 365523503117552640, 72341521311159475200, 15698552277109576089600, 3707121435080668435353600
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OFFSET
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0,2
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MATHEMATICA
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A091993[n_] := Integrate[(1 + x^2)^n, {x, 0, 1/3}](2*n + 2)!*3^(2*n + 1)/((n + 1)!*2^(n + 1)); Table[ A091993[n], {n, 0, 13}] (from Robert G. Wilson v Mar 18 2004)
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CROSSREFS
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Sequence in context: A132503 A092705 A061321 this_sequence A118705 A013926 A110696
Adjacent sequences: A091990 A091991 A091992 this_sequence A091994 A091995 A091996
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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), Mar 17 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 18 2004
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