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Generalized Stack Permutations

Published online by Cambridge University Press:  01 September 1998

School of Mathematical and Computational Sciences North Haugh, St Andrews, Fife KY16 9SS, Scotland (e-mail:


Stacks which allow elements to be pushed into any of the top r positions and popped from any of the top s positions are studied. An asymptotic formula for the number un of permutations of length n sortable by such a stack is found in the cases r=1 or s=1. This formula is found from the generating function of un. The sortable permutations are characterized if r=1 or s=1 or r=s=2 by a forbidden subsequence condition.

Research Article
1998 Cambridge University Press

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