OFFSET

1,8

COMMENTS

See A191250.

Proof of Kimberling's conjecture on the positions of 0 in this sequence: consider the letter to letter projection pi given by pi(0) = 0, pi(1) = 1, pi(2) = 1. Then pi sigma = tau pi, where tau is the morphism on {0,1} given by tau(0) = 001, tau(1) = 01. It follows that pi(a) = x, where x = A188432 is the fixed point of tau. Note that the positions of zero in a = A191269 are equal to the positions of zero in x. Since x is the infinite Fibonacci word with a zero in front, it follows that these positions are given by A026351. - Michel Dekking, Aug 24 2019

MATHEMATICA

CROSSREFS

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 28 2011

STATUS

approved