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A well-behaved cousin of the Hofstadter sequence

✍ Scribed by Stephen M. Tanny

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
735 KB
Volume
105
Category
Article
ISSN
0012-365X

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✦ Synopsis

Very little is known about the Hofstadter sequence

A seemingly close relative is the sequence T(n) given by T(n) = T(n -1 -T(n -1)) + T(n -2 -T(n -2)), n > 2 with T(0) = T(1) = T(2) = 1. In sharp contrast to the 'chaotic' behaviour

of Q(n), T(n) behaves in a completely predictable fashion which is characterized precisely.

In particular, T(n) is monotonic and hits every positive integer.

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