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Numerators in expansion of (1-x)^(3/2).
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%I #13 Aug 26 2016 13:16:19

%S 1,-3,3,1,3,3,7,9,99,143,429,663,4199,6783,22287,37145,1002915,

%T 1710855,5892945,10235115,71645805,126233085,447553665,797813055,

%U 11435320455,20583576819,74417546961,135054066707

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

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

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

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

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

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

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

%K easy,sign,frac

%O 0,2

%A _Johannes W. Meijer_, Jun 08 2009