OFFSET
0,1
COMMENTS
The terms given can be computed as the iterates of the morphism 1 -> 110, 0 -> 10, with axiom 1, concatenated. - Joerg Arndt, Mar 01 2022
Ratio of 1's to 0's tends to phi^2, by way of example, in the subset of 8 terms (1, 1, 0, 1, 1, 0, 1, 0), there are five 1's and three 0's.
FORMULA
Substitution rules T => 2T = t; t => T + t; are derived directly from the matrix generator [2,1; 1,0] (eigenvalue phi^2). Then substitute 1 for T and 0 for t.
EXAMPLE
By rows, we get:
1;
1, 1, 0;
1, 1, 0, 1, 1, 0, 1, 0;
...
Then append n-th row to the end of (n-1)-th row, forming a continuous string.
CROSSREFS
KEYWORD
nonn,tabf,more,uned
AUTHOR
Gary W. Adamson, Jun 27 2007
STATUS
approved