130 citations · 2k across the 94 of their papers we have counts for
98 papers
Enumerating Pattern-Avoiding Involutions using Combinatorial Exploration
Christian Bean, Anthony J. Guttmann, Jay Pantone
The enumeration of pattern-avoiding permutations has been a popular area of study over the past several decades, but comparatively little attention has been given to the topic of p…
-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 LEGO configurations
Alexander Gunning, Anthony J Guttmann, Rasmus M Nilsson
We discuss the problem of counting certain LEGO structures, primarily those comprising parallel tiles. These can be combined, as a single LEGO structure, by interlocki…
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…
The gerrymander sequence, or A348456
Anthony J Guttmann, Iwan Jensen
Recently Kauers, Koutschan and Spahn announced a significant increase in the length of the so-called {\em gerrymander sequence}, given as A348456 in the OEIS, extending the sequenc…