%I #11 Aug 23 2024 08:40:00
%S 1,2,3,3,5,4,5,3,6,6,7,6,7,6,7,4,8,5,7,4,5,6,7,4,5,8,9,8,9,8,9,4,8,7,
%T 9,10,13,12,13,13,18,9,11,8,9,8,9,7,9,8,9,8,9,4,5,8,9,12,13,4,5,4,5,4,
%U 9,9,12,9,11,8,9,4,5,4,5,10,11,8,9,7,9,14,15,14,15,14,15,12,13,12,13,12,13
%N Number of integers among the following n+1 quotients: A001405(n)/A001405(k), k=0,..,n. Number of values k for which the n-th central binomial coefficient[cbc] is divisible by the k-th cbc-s k=0,..n.
%e n=11: the 12 relevant C(11,5)/C(k,floor(k/2)) quotients are {462,462,231,154,77,231/5,231/10,66/5,33/5,11/3,11/6,1}; of which a(12)=6 are integers.
%t Table[Count[Table[IntegerQ[Binomial[n, Floor[n/2]]/ Binomial[i, Floor[i/2]]], {i, 0, n}], True], {n, 1, 256}]
%Y Cf. A001405.
%K nonn
%O 0,2
%A _Labos Elemer_, Mar 13 2003