A161200 - OEIS

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A161200

Numerators in expansion of (1-x)^(3/2).

1, -3, 3, 1, 3, 3, 7, 9, 99, 143, 429, 663, 4199, 6783, 22287, 37145, 1002915, 1710855, 5892945, 10235115, 71645805, 126233085, 447553665, 797813055, 11435320455, 20583576819, 74417546961, 135054066707

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OFFSET

0,2

LINKS

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

FORMULA

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

MATHEMATICA

Numerator[CoefficientList[Series[(1-x)^(3/2), {x, 0, 30}], x]] (* Harvey P. Dale, Aug 26 2016 *)

CROSSREFS

Cf. A002596 ((1-x)^(1/2)) and A161202 ((1-x)^(5/2)).

Cf. A161199 (numerators in expansion of (1-x)^(-5/2)).