OFFSET
1
COMMENTS
Iterates of the mapping, starting with 00:
00
0110
01000
00000110
0110011001000
010000100000000110
00000110000001100110011001000
01100110010000110011001000010000100000000110
The 1-limiting word is the limit of the n-th iterates for n == 1 mod 3. Conjecture: the number of letters (0's and 1's) in the n-th iterate is given by A288468(n).
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..10000
EXAMPLE
The first three n-th iterates for n == 1 mod 3 are
0110
0110011001000
01100110010000110011001000010000100000000110
MATHEMATICA
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 15 2017
STATUS
approved