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A089138
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a(n) = (3^(2*n))*(integral_{x=0 to 1} (1+x^3)^n dx)/(integral_{x=0 to 1} (1-x^3)^n dx).
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0
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1, 15, 207, 2871, 40959, 604503, 9214479, 144391815, 2313641151, 37724683959, 623474304111, 10412641429479, 175337108637471, 2971909404000279, 50642191943368911, 866773853177022279, 14890613346688811391
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| a(3)=2871
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MATHEMATICA
| f[n_] := 3^(2n)* Integrate[(1 + x^3)^n, {x, 0, 1}]/Integrate[(1 - x^3)^n, {x, 0, 1}]; Table[ f[n], {n, 0, 18}] (from Robert G. Wilson v Dec 22 2003)
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CROSSREFS
| Sequence in context: A063906 A194481 A078265 * A051813 A028230 A122572
Adjacent sequences: A089135 A089136 A089137 * A089139 A089140 A089141
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KEYWORD
| nonn
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AUTHOR
| Al Hakanson (hawkuu(AT)excite.com), Dec 05 2003
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 22 2003
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