74 citations · 116 across the 11 of their papers we have counts for
12 papers
-Convex Polyominoes by Semi-perimeter
Andrew R. Conway, Anthony J. Guttmann
We give the conjectured solution for the generating function of -convex polyominoes, enumerated by semi-perimeter. The solution was obtained from the analysis of enumeration dat…
k-Convex Polyominoes by Semi-perimeter
Andrew R. Conway, Anthony J. Guttmann
We give the conjectured solution for the generating function of k-convex polyominoes, enumerated by semi-perimeter. The solution was obtained from the analysis of enumeration data…
Counting occurrences of patterns in permutations
Andrew R Conway, Anthony J Guttmann
We develop a new, powerful method for counting elements in a multiset. As a first application, we use this algorithm to study the number of occurrences of patterns in a permutation…
Pattern-avoiding ascent sequences of length 3
Andrew R Conway, Miles Conway, Andrew Elvey Price +1
Pattern-avoiding ascent sequences have recently been related to set-partition problems and stack-sorting problems. While the generating functions for several length-3 pattern-avoid…
Classical length-5 pattern-avoiding permutations
Nathan Clisby, Andrew R. Conway, Anthony J. Guttmann +1
We have made a systematic numerical study of the 16 Wilf classes of length-5 classical pattern-avoiding permutations from their generating function coefficients. We have extended t…
1324-avoiding permutations revisited
Andrew R. Conway, Anthony J. Guttmann, Paul Zinn-Justin
We give an improved algorithm for counting the number of -avoiding permutations, resulting in further terms of the generating function, which is now known for all patter…