OFFSET
1,1
COMMENTS
Every term is divisible by 3; see A194368.
MATHEMATICA
r = Sqrt[3]; c = 1/3;
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, 150}];
Flatten[Position[t1, 1]] (* A194415 *)
t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 300}];
Flatten[Position[t2, 1]] (* A194416 *)
%/3 (* A194417 *)
t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 500}];
Flatten[Position[t3, 1]] (* A194418 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 24 2011
STATUS
approved