%I #5 Mar 30 2012 18:57:43
%S 2,2,2,3,2,3,3,4,5,4,7,6,6,7,6,10,11,11,11,11,10,19,19,18,18,18,18,18,
%T 32,32,33,32,32,31,32,32,56,56,59,56,57,57,56,58,57,102,102,103,102,
%U 102,103,103,101,102,104,185,187,186,186,187,185,187,186,186,186
%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=3-e.
%C See A194285.
%e First eight rows:
%e 2
%e 2...2
%e 3...2...3
%e 3...4...5...4
%e 7...6...6...7...6
%e 10..11..11..11..11..10
%e 19..19..18..18..18..18..18
%e 32..32..33..32..32..31..32..32
%t r = 3-E;
%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[%] (* A194344 *)
%Y Cf. A194285.
%K nonn,tabl
%O 1,1
%A _Clark Kimberling_, Aug 22 2011