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A091993
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Numerator of I(n) = Integral_{x=0 to 1/3} (1+x^2)^n dx.
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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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COMMENTS
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The denominator is b(n)=(2*n+2)!*3^(2*n+1)/((n+1)!*2^(n+1)).
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LINKS
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EXAMPLE
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The fourth term is 85632 since I(3)= 85632/229635.
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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}] (* Robert G. Wilson v, Mar 18 2004 *)
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CROSSREFS
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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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STATUS
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approved
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