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%I #9 Jun 28 2017 19:35:28
%S 2,3,5,6,8,9,11,12,14,15,17,20,23,26,29,32,52,55,58,61,64,67,69,70,72,
%T 73,75,76,78,79,81,82,84,85,86,88,89,91,92,94,95,97,98,100,101,102,
%U 104,105,107,108,110,111,113,114,116,117,119,122,125,128,131,134
%N a(n) = (1/2) * A194382(n).
%C See A194368.
%t r = Sqrt[8]; c = 1/2;
%t x[n_] := Sum[FractionalPart[k*r], {k, 1, n}]
%t y[n_] := Sum[FractionalPart[c + k*r], {k, 1, n}]
%t t1 = Table[If[y[n] < x[n], 1, 0], {n, 1, 100}];
%t Flatten[Position[t1, 1]] (* A194381 *)
%t t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 300}];
%t Flatten[Position[t2, 1]] (* A194382 *)
%t %/2 (* A194383 *)
%t t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 600}];
%t Flatten[Position[t3, 1]] (* A194384 *)
%Y Cf. A194368, A194382.
%K nonn
%O 1,1
%A _Clark Kimberling_, Aug 23 2011
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