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A161202 Numerators in expansion of (1-x)^(5/2) 5
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; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..27.

FORMULA

a(n) = numer((15/(15-46*n+36*n^2-8*n^3))*binomial(2*n,n)/(4^n))

MATHEMATICA

Numerator[CoefficientList[Series[(1-x)^(5/2), {x, 0, 30}], x]] (* Harvey P. Dale, Aug 22 2011 *)

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: A082269 A107776 A290528 * A154353 A114332 A077348

Adjacent sequences:  A161199 A161200 A161201 * A161203 A161204 A161205

KEYWORD

easy,sign,frac

AUTHOR

Johannes W. Meijer, Jun 08 2009

STATUS

approved

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Last modified September 19 12:57 EDT 2019. Contains 327198 sequences. (Running on oeis4.)