Tilings, Continued Fractions, Derangements, Scramblings, and e
Barry Balof and Helen Jenne
Department of Mathematics
Whitman College
Walla Walla, WA 99362
USA
Abstract:
In a recent book, Benjamin and Quinn ask about the combinatorial implications of Euler’s continued fraction
e = [2,(1,1),(1,2),(2,3),(3,4),...].
In this paper, we explore those implications through two special types of permutations,
namely, derangements and scramblings.
Full version: pdf,
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(Concerned with sequences
A000166
A000255
A001048.)
Received October 3 2013.
revised versions received December 2 2013; January 6 2014.
Published in Journal of Integer Sequences, January 6 2014.
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