Tilings, Continued Fractions, Derangements, Scramblings, and e
Barry Balof and Helen Jenne
Department of Mathematics
Walla Walla, WA 99362
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,
(Concerned with sequences
Received October 3 2013.
revised versions received December 2 2013; January 6 2014.
Published in Journal of Integer Sequences, January 6 2014.
Journal of Integer Sequences home page