A194369 (A194368)/2.

1, 2, 6, 7, 8, 12, 13, 14, 35, 36, 37, 41, 42, 43, 47, 48, 49, 70, 71, 72, 76, 77, 78, 82, 83, 84, 204, 205, 206, 210, 211, 212, 216, 217, 218, 239, 240, 241, 245, 246, 247, 251, 252, 253, 274, 275, 276, 280, 281, 282, 286

Offset: 1

Author

Clark Kimberling, Aug 23 2011

Keywords

• nonn

Comments

See A194368.

Crossrefs

Cf. A194368.

Programs

Mathematica

r = Sqrt[2]; c = 1/2;
x[n_] := Sum[FractionalPart[k*r], {k, 1, n}]
y[n_] := Sum[FractionalPart[c + k*r], {k, 1, n}]
t1 = Table[If[y[n] < x[n], 1, 0], {n, 1, 100}];
Flatten[Position[t1, 1]]  (* empty *)
t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 800}];
Flatten[Position[t2, 1]] (* A194368 *)
%/2 (* A194369 *)
t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 100}];
Flatten[Position[t3, 1]] (* A194370 *)