In search of Robbins stability

Details In search of Robbins stability In search of Robbins stability

2004-09-27

arxiv.org/abs/math/0409535v2

Advances in Applied Mathematics, Volume 34, Issue 4, May 2005, pp. 659-668

Mathematics

Number Theory

10 pages; to appear in the David Robbins memorial issue of Advances in Applied Mathematics

Scientific paper

We speculate on whether a certain p-adic stability phenomenon, observed by
David Robbins empirically for Dodgson condensation, appears in other nonlinear
recurrence relations that "unexpectedly" produce integer or nearly-integer
sequences. We exhibit an example (number friezes) where this phenomenon
provably occurs.

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