%I #5 Mar 30 2012 18:57:42
%S 2,3,1,2,3,3,4,5,3,4,6,7,6,7,6,11,11,12,9,11,10,19,17,19,19,17,20,17,
%T 32,32,33,32,32,32,32,31,58,56,57,57,57,57,57,57,56,103,102,102,103,
%U 103,102,101,103,103,102,186,187,185,186,187,187,185,186,187,187
%N Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n, r=(1+sqrt(3))/2.
%C See A194285.
%e First six rows:
%e 2
%e 3..1
%e 2..3..3
%e 4..5..3..4
%e 6..7..6..7..6
%e 11..11..12..9...11..10
%t r = (1+Sqrt[3])/2;
%t f[n_, k_, i_] := If[(k - 1)/n <= FractionalPart[i*r] < k/n, 1, 0]
%t g[n_, k_] := Sum[f[n, k, i], {i, 1, 2^n}]
%t TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]
%t Flatten[%] (* A194300 *)
%Y Cf. A194285.
%K nonn,tabl
%O 1,1
%A _Clark Kimberling_, Aug 21 2011