A188297 a(n) = [n*r] - [k*r] - [n*r-k*r], where r=1/sqrt(2), k=2, [ ]=floor.

0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1

Offset

1

Comments

See A188014.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

a(n) = [n*r] - [n*r-2*r] - [2*r], where r=1/sqrt(2).

Mathematica

r=2^(-1/2); k=2;
t=Table[Floor[n*r]-Floor[n*r-k*r]-Floor[k*r], {n, 1, 220}]  (* A188297 *)
Flatten[Position[t, 0] ]   (* A188298 *)
Flatten[Position[t, 1] ]   (* A188299 *)

Prog

(PARI) for(n=1, 100, print1(floor(n/sqrt(2)) - floor(2/sqrt(2)) - floor((n-2)/sqrt(2)), ", ")) \\ G. C. Greubel, Apr 13 2018
(Magma) [Floor(n/Sqrt(2)) - Floor(2/Sqrt(2)) - Floor((n-2)/Sqrt(2)): n in [1..100]]; // G. C. Greubel, Apr 13 2018

Crossrefs

Cf. A188014, A188298, A188299.

Sequence in context: A144595 A340507 A072785 * A289128 A272664 A143518

Adjacent sequences: A188294 A188295 A188296 * A188298 A188299 A188300

Keyword

nonn

Author

Clark Kimberling, Mar 27 2011

Status

approved