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A091429
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Numerator of a(n)=(integral_{x=0..1/3} (1-x^2)^n dx).
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1
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1, 26, 1128, 68592, 5368704, 514149120, 58253091840, 7623288207360, 1131761338122240, 187970402507489280, 34537682442564403200, 6956566802152095744000, 1524349874113331960217600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The denominator is b(n)= (2*n+2)!*3^(2*n+1)/((n+1)!*2^(n+1)).
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FORMULA
| c(n)=[(2n+2)!*3^(2n+1)/[(n+1)!*2^(n+1)]]int((1-x^2)^n, x=0..1/3). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 15 2004
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MAPLE
| c := n->((2*n+2)!*3^(2*n+1)/((n+1)!*2^(n+1)))*int((1-x^2)^n, x=0..1/3): seq(c(n), n=0..18);
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MATHEMATICA
| A091429[n_] := Integrate[(1 - x^2)^n, {x, 0, 1/3}](2n + 2)!*3^(2n + 1)/((n + 1)!*2^(n + 1)); Table[ A091429[n], {n, 0, 13}] (from Robert G. Wilson v Mar 15 2004)
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CROSSREFS
| Sequence in context: A139670 A160261 A037138 * A200721 A187463 A160311
Adjacent sequences: A091426 A091427 A091428 * A091430 A091431 A091432
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KEYWORD
| nonn
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AUTHOR
| Al Hakanson (hawkuu(AT)excite.com), Mar 02 2004
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 15 2004
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