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

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)).

Cf. A161198 (triangle related to the series expansions of (1-x)^((-1-2*n)/2) for all values of n).

Cf. A046161 (denominators of the series expansions of (1-x)^(3/2)).

Sequence in context: A337910 A092040 A293866 * A214747 A110766 A166314

Adjacent sequences: A161197 A161198 A161199 * A161201 A161202 A161203

Keyword

easy,sign,frac

Author

Johannes W. Meijer, Jun 08 2009

Status

approved