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%I #26 May 14 2021 05:29:30
%S 1,1,1,2,4,7,14,26,50,94,180,344,660,1269,2448,4733,9171,17804,34618,
%T 67415,131460,256661,501656,981501,1922106,3767329,7389761,14505829,
%U 28493592,56004648,110142474,216731966,426691058,840452084,1656184990
%N a(n) = floor(C(2n,n)/2^n).
%F For n>0, a(n) = floor(A006882(2*n-1) / n!). - _Alex Ratushnyak_, Nov 28 2013
%e a(4) = floor(1*3*5*7 / (1*2*3*4)) = floor(35/8) = 4.
%t Table[Floor[Binomial[2n,n]/2^n],{n,0,40}] (* _Harvey P. Dale_, Mar 07 2016 *)
%o (Python)
%o import math
%o for n in range(55): print(str(math.factorial(2*n)//(math.factorial(n)**2 * 2**n)), end=',')
%o # _Alex Ratushnyak_, Nov 28 2013
%o (PARI) a(n)=binomial(2*n,n)>>n \\ _Charles R Greathouse IV_, Jul 19 2016
%Y Cf. A006882.
%K nonn
%O 0,4
%A _Clark Kimberling_
%E More terms from _Benoit Cloitre_, Jan 26 2002
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