[seqfan] The Fibonacci word over the nonneg integers

Neil Sloane njasloane at gmail.com
Fri Jun 30 20:06:53 CEST 2017


Interesting new paper in the Electronic J Combinatorics:

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.

http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i2p52/pdf

Trajectory of 0 under the map x -> x,x+1 if x is even, x -> x+1 if x is
odd, starting at 0:

0, 1, 2, 2, 3, 2, 3, 4, 2, 3, 4, 4, 5, 2, 3, ...

The sequence was in the OEIS already but with a different definition:
A104324

It has many interesting properties.



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