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A288576
The Fibonacci word in A104324 partitioned into blocks.
1
0, 1, 22, 323, 42344, 52344545, 6234454564566, 723445456456674566767, 8234454564566745667678456676786788, 9234454564566745667678456676786788945667678678896788989
OFFSET
0,3
COMMENTS
This way of representing the block structure of A104324 is used by Zhang et al. (2017), but of course only makes sense for blocks 0 through 9.
LINKS
Jiemeng Zhang, Zhixiong Wen, and Wen Wu, Some Properties of the Fibonacci Sequence on an Infinite Alphabet, Electronic Journal of Combinatorics, 24(2) (2017), #P2.52.
EXAMPLE
The initial blocks are as follows:
0,
1,
22,
323,
42344,
52344545,
6234454564566,
723445456456674566767,
8234454564566745667678456676786788,
9234454564566745667678456676786788945667678678896788989,
...
but if the commas are inserted (as they should be) then we see the blocks more clearly:
0,
1,
2,2,
3,2,3,
4,2,3,4,4,
5,2,3,4,4,5,4,5,
6,2,3,4,4,5,4,5,6,4,5,6,6,
7,2,3,4,4,5,4,5,6,4,5,6,6,7,4,5,6,6,7,6,7,
8,2,3,4,4,5,4,5,6,4,5,6,6,7,4,5,6,6,7,6,7,8,4,5,6,6,7,6,7,8,6,7,8,8,
9,2,3,4,4,5,4,5,6,4,5,6,6,7,4,5,6,6,7,6,7,8,4,5,6,6,7,6,7,8,6,7,8,8,9,4,5,6,6,7,6,7,8,6,7,8,8,9,6,7,8,8,9,8,9,
10,2,3,4,4,5,4,5,6,4,5,6,6,7,4,5,6,6,7,6,7,8,4,5,6,6,7,6,7,8,6,7,8,8,9,4,5,6,6,7,6,7,8,6,7,8,8,9,6,7,8,8,9,8,9,10,4,5,6,6,7,6,7,8,6,7,8,8,9,6,7,8,8,9,8,9,10,6,7,8,8,9,8,9,10,8,9,10,10,
...
CROSSREFS
Block n has length Fibonacci(n), see A000045.
Sequence in context: A021904 A022343 A025945 * A020571 A021874 A025963
KEYWORD
nonn,tabf,base
AUTHOR
N. J. A. Sloane, Jun 30 2017
STATUS
approved