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math.CO1999★ 6 cited
Patterns and Fractions
Aaron Robertson, Herb Wilf, Doron Zeilberger
We find, in the form of a continued fraction, the generating function for the number of (132)-avoiding permutations that have a given number of (123) patterns, and show how to exte…
math.CO1999★ 1 cited
The Number of Permutations With A Prescribed Number of 132 and 123 Patterns
Shalosh B. Ekhad, Aaron Robertson, Doron Zeilberger
Here we present the reasoning behind, and program to find, the generating functions for the number of permutations in the title. The article duals as the "accompanying" Maple packa…