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A161202
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Numerators in expansion of (1-x)^(5/2)
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4
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1, -5, 15, -5, -5, -3, -5, -5, -45, -55, -143, -195, -1105, -1615, -4845, -7429, -185725, -294975, -950475, -1550775, -10235115, -17058525, -57378675, -97294275, -1329688425, -2287064091, -7916760315, -13781027215
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = numer((15/(15-46*n+36*n^2-8*n^3))*binomial(2*n,n)/(4^n))
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MATHEMATICA
| Numerator[CoefficientList[Series[(1-x)^(5/2), {x, 0, 30}], x]] (* From Harvey P. Dale, Aug 22 2011 *)
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CROSSREFS
| Cf. A002596 [1-x)^(1/2)] and A161200 [1-x)^(3/2)].
Cf. A161201 numerators in expansion of (1-x)^(-7/2).
A161198 triangle related to the series expansions of (1-x)^((-1-2*n)/2) for all values of n.
A046161 gives the denominators of the series expansions of (1-x)^(5/2).
Sequence in context: A000331 A082269 A107776 * A154353 A114332 A077348
Adjacent sequences: A161199 A161200 A161201 * A161203 A161204 A161205
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KEYWORD
| easy,sign
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AUTHOR
| Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 08 2009
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