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

%I #8 Nov 21 2013 12:49:38

%S 1,-5,15,-5,-5,-3,-5,-5,-45,-55,-143,-195,-1105,-1615,-4845,-7429,

%T -185725,-294975,-950475,-1550775,-10235115,-17058525,-57378675,

%U -97294275,-1329688425,-2287064091,-7916760315,-13781027215

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

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

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

%Y Cf. A002596 [1-x)^(1/2)] and A161200 [1-x)^(3/2)].

%Y Cf. A161201 numerators in expansion of (1-x)^(-7/2).

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

%Y A046161 gives the denominators of the series expansions of (1-x)^(5/2).

%K easy,sign,frac

%O 0,2

%A _Johannes W. Meijer_, Jun 08 2009

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Last modified August 21 21:14 EDT 2024. Contains 375353 sequences. (Running on oeis4.)