A188467 [4r]-[nr]-[4r-nr], where r=(1+sqrt(5))/2 and [.]=floor.

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

Offset

1

Comments

See A188294. First differs from A078588 at the 38th term.

(a(n)) is essentially the same as A188014 and also as A187950. The second sequence is a shift of (a(n)), and the first sequence is obtained by applying [-x]=[x]-1 for all non-integer x. This gives a(n) = 1-A188014(n) for all n not equal to 4. - Michel Dekking, Oct 04 2016

Links

Table of n, a(n) for n=1..179.

Formula

a(n)=[4r]-[nr]-[4r-nr], where r=(1+sqrt(5))/2.

Mathematica

r = (1 + 5^(1/2))/2 + .0000000000001;
f[n_] := Floor[4r] - Floor[n*r] - Floor[4r - n*r]
t = Flatten[Table[f[n], {n, 1, 200}]] (* A188467 *)
Flatten[Position[t, 0] ]  (* A188468 *)
Flatten[Position[t, 1] ]  (* A188469 *)

Crossrefs

Cf. A188294, A188468, A188469.

Sequence in context: A187950 A112539 A104104 * A039983 A152490 A361465

Adjacent sequences: A188464 A188465 A188466 * A188468 A188469 A188470

Keyword

nonn

Author

Clark Kimberling, Apr 01 2011

Status

approved