A188041 a(n) = [n*r]-[k*r]-[n*r-k*r], where r=sqrt(2), k=3, [ ]=floor.

0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 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]-[3*r]-[n*r-3*r], where r=sqrt(2).

Mathematica

r=2^(1/2); k=3;
t=Table[Floor[n*r]-Floor[(n-k)*r]-Floor[k*r], {n, 1, 220}]   (*A188041*)
Flatten[Position[t, 0]]  (*A188042*)
Flatten[Position[t, 1]]  (*A188043*)

Prog

(PARI) for(n=1, 50, print1(floor(n*sqrt(2)) - floor(3*sqrt(2)) - floor((n-3)*sqrt(2)), ", ")) \\ G. C. Greubel, Apr 10 2018
(Magma) [Floor(n*Sqrt(2)) - Floor(3*Sqrt(2)) - Floor((n-3)*Sqrt(2)): n in [1..50]]; // G. C. Greubel, Apr 10 2018

Crossrefs

Cf. A188014, A187969.

Sequence in context: A302048 A093957 A283317 * A261990 A144601 A188009

Adjacent sequences: A188038 A188039 A188040 * A188042 A188043 A188044

Keyword

nonn

Author

Clark Kimberling, Mar 19 2011

Status

approved