A288582 A288581(n) written in base 2.

1, 0, 1, 10, 1001, 1001010, 100101001001, 10010100100101001010, 100101001001010010100100101001001, 100101001001010010100100101001001010010100100101001010, 1001010010010100101001001010010010100101001001010010100100101001001010010100100101001001

Offset: 0

Author

N. J. A. Sloane, Jul 04 2017

Keywords

• nonn

Comments

Define the sequence of finite Fibonacci words f_i by f_0=1, f_1=0, and thereafter f_n is the concatenation f_{n-1} f_{n-2}. The limit of f_i as i -> oo is the infinite Fibonacci word A003849.

Then f_0 = a(0), f_1 = a(1), and for n>1, f_n is the concatenation 0 a(n).

Links

• G. M. Barabash, Y. M. Kholyavka, I. V. Tytar, Periodic words connected with the Fibonacci words, Carpathian Math. Publ. 2016, 8 (1), 11-15; doi:10.15330/cmp.8.1.11-15.

Crossrefs

Cf. A003849, A288581.

Extensions

More terms from Rémy Sigrist, Feb 26 2019