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%I #5 Mar 30 2012 18:57:43

%S 1,2,6,7,8,12,13,14,35,36,37,41,42,43,47,48,49,70,71,72,76,77,78,82,

%T 83,84,204,205,206,210,211,212,216,217,218,239,240,241,245,246,247,

%U 251,252,253,274,275,276,280,281,282,286

%N (A194368)/2.

%C See A194368.

%t r = Sqrt[2]; 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]] (* empty *)

%t t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 800}];

%t Flatten[Position[t2, 1]] (* A194368 *)

%t %/2 (* A194369 *)

%t t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 100}];

%t Flatten[Position[t3, 1]] (* A194370 *)

%Y Cf. A194368.

%K nonn

%O 1,2

%A _Clark Kimberling_, Aug 23 2011