A161202 Numerators in expansion of (1-x)^(5/2)

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

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: A367030 A107776 A290528 * A154353 A077348 A290829

Adjacent sequences: A161199 A161200 A161201 * A161203 A161204 A161205

Keyword

easy,sign,frac

Author

Johannes W. Meijer, Jun 08 2009

Status

approved