A190484 Positions of 0 in A190483.

3, 5, 10, 15, 17, 20, 22, 27, 29, 32, 34, 39, 44, 46, 51, 56, 58, 61, 63, 68, 73, 75, 80, 85, 87, 90, 92, 97, 99, 102, 104, 109, 114, 116, 119, 121, 126, 128, 131, 133, 138, 143, 145, 150, 155, 157, 160, 162, 167, 169, 172, 174, 179, 184, 186, 189, 191, 196, 198, 201, 203, 208, 213, 215

Offset: 1

Author

Clark Kimberling, May 11 2011

Keywords

• nonn

Comments

See A190483.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A190483.

Programs

Mathematica

r = Sqrt[2]; b = 2; c = 1;
f[n_] := Floor[(b*n + c)*r] - b*Floor[n*r] - Floor[c*r];
t = Table[f[n], {n, 1, 200}]  (* A190483 *)
Flatten[Position[t, 0]]   (* A190484 *)
Flatten[Position[t, 1]]   (* A190485 *)
Flatten[Position[t, 2]]   (* A190486 *)

Python

from sympy import sqrt, floor
r=sqrt(2)
def a190483(n): return floor((2*n + 1)*r) - 2*floor(n*r) - floor(r)
print([n for n in range(1, 501) if a190483(n)==0]) # Indranil Ghosh, Jul 02 2017