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A288576 The Fibonacci word in A104324 partitioned into blocks. 1
0, 1, 22, 323, 42344, 52344545, 6234454564566, 723445456456674566767, 8234454564566745667678456676786788, 9234454564566745667678456676786788945667678678896788989 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=0..9.

Jiemeng Zhang, Zhixiong Wen, 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

Adjacent sequences:  A288573 A288574 A288575 * A288577 A288578 A288579

KEYWORD

nonn,tabf,base

AUTHOR

N. J. A. Sloane, Jun 30 2017

STATUS

approved

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Last modified October 21 00:56 EDT 2017. Contains 293679 sequences.