A140397 a(n) = floor(3*phi*n) - 3*floor(phi*n) where phi = (1+sqrt(5))/2.

1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0

Offset

1,3

Links

Table of n, a(n) for n=1..99.

Formula

a(n) = floor(n*s^2)-floor(s*floor(n*s)), where s=1+phi.

Prog

(PARI) a(n) = my(fhi=(1+sqrt(5))/2); floor(3*fhi*n) - 3*floor(fhi*n); \\ Michel Marcus, Aug 26 2013

Crossrefs

Cf. A140398, A140399, A140400, A140401, A005652, A005653, A078588.

Sequence in context: A231167 A194313 A127476 * A120614 A287516 A252055

Adjacent sequences: A140394 A140395 A140396 * A140398 A140399 A140400

Keyword

nonn

Author

Fred Lunnon, Jun 20 2008

Status

approved