OFFSET
1,3
COMMENTS
Here "anti-palindromic" means the expansion is of the form x.y, where the complement of y is the reverse of x (allowing leading or trailing zeros). Here we do not insist that the base-phi representation be "canonical" (that is, we do not insist that xy contains no 11).
LINKS
George Bergman, A number system with an irrational base, Math. Mag. 31 (1957), pp. 98-110.
Jeffrey Shallit, Proving Properties of phi-Representations with the Walnut Theorem-Prover, arXiv:2305.02672 [math.NT], 2023.
FORMULA
There is a 193-state automaton accepting the Zeckendorf representation of the members of this sequence.
EXAMPLE
For example, one base-phi representation of 13 is 00100001.01111011.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Jeffrey Shallit, May 03 2023
STATUS
approved