mutually-praising pairs

Tanya Khovanova mathoflove-seqfan at yahoo.com
Tue Mar 18 18:07:53 CET 2008


Hello Seqfans,

My Mathematica stopped working (some licensing issues, not sure what).
I  submitted a sequence which I would like to expand. Can you help?

Mutually-praising pairs.
130, 230, 430, 530, 630, 730, 1101, 2210, 10110, 11200, 23100

Comment: 1101 and 130 mutually describe each other: If you read 130 as
1 zero, 3 ones, 0 twos; you will get the description of 1101. If you
read 1101 as 1 zero, 1 one, 0 twos and 1 three; you will get the
description of 130.

comment: A046043 Autobiographical numbers - can be considered as
mutually-praising pairs where two numbers in a pair are the same
number.

Papers: Tanya Khovanova, Autobiographical Numbers <a
href="http://arxiv.org/find/all/1/au:+khovanova/0/1/0/all/0/1">arXiv"</a>

Best, Tanya





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