This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A024502 #26 May 14 2021 05:29:30 %S A024502 1,1,1,2,4,7,14,26,50,94,180,344,660,1269,2448,4733,9171,17804,34618, %T A024502 67415,131460,256661,501656,981501,1922106,3767329,7389761,14505829, %U A024502 28493592,56004648,110142474,216731966,426691058,840452084,1656184990 %N A024502 a(n) = floor(C(2n,n)/2^n). %F A024502 For n>0, a(n) = floor(A006882(2*n-1) / n!). - _Alex Ratushnyak_, Nov 28 2013 %e A024502 a(4) = floor(1*3*5*7 / (1*2*3*4)) = floor(35/8) = 4. %t A024502 Table[Floor[Binomial[2n,n]/2^n],{n,0,40}] (* _Harvey P. Dale_, Mar 07 2016 *) %o A024502 (Python) %o A024502 import math %o A024502 for n in range(55): print(str(math.factorial(2*n)//(math.factorial(n)**2 * 2**n)), end=',') %o A024502 # _Alex Ratushnyak_, Nov 28 2013 %o A024502 (PARI) a(n)=binomial(2*n,n)>>n \\ _Charles R Greathouse IV_, Jul 19 2016 %Y A024502 Cf. A006882. %K A024502 nonn %O A024502 0,4 %A A024502 _Clark Kimberling_ %E A024502 More terms from _Benoit Cloitre_, Jan 26 2002