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%I #16 Jan 31 2024 13:08:08
%S 0,1,22,323,42344,52344545,6234454564566,723445456456674566767,
%T 8234454564566745667678456676786788,
%U 9234454564566745667678456676786788945667678678896788989
%N The Fibonacci word in A104324 partitioned into blocks.
%C 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.
%H Jiemeng Zhang, Zhixiong Wen, and Wen Wu, <a href="https://doi.org/10.37236/6745">Some Properties of the Fibonacci Sequence on an Infinite Alphabet</a>, Electronic Journal of Combinatorics, 24(2) (2017), #P2.52.
%e The initial blocks are as follows:
%e 0,
%e 1,
%e 22,
%e 323,
%e 42344,
%e 52344545,
%e 6234454564566,
%e 723445456456674566767,
%e 8234454564566745667678456676786788,
%e 9234454564566745667678456676786788945667678678896788989,
%e ...
%e but if the commas are inserted (as they should be) then we see the blocks more clearly:
%e 0,
%e 1,
%e 2,2,
%e 3,2,3,
%e 4,2,3,4,4,
%e 5,2,3,4,4,5,4,5,
%e 6,2,3,4,4,5,4,5,6,4,5,6,6,
%e 7,2,3,4,4,5,4,5,6,4,5,6,6,7,4,5,6,6,7,6,7,
%e 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,
%e 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,
%e 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,
%e ...
%Y Block n has length Fibonacci(n), see A000045.
%K nonn,tabf,base
%O 0,3
%A _N. J. A. Sloane_, Jun 30 2017
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