A. Guttmann

works on

asymptotic analysis 1 asymptotic expansions 1 combinatorics 1 generating functions 1 k-convexity 1 non-algebraic singularities 1 polyomino enumeration 1 semi-perimeter 1 series analysis 1 statistical mechanics 1 stretched exponentials 1

From the 2 of 4 linked papers with an AI index.

most citedAnalysis of series expansions for non-algebraic singularities

13 citations · 13 across the 4 of their papers we have counts for

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2026

$k$ -Convex Polyominoes by Semi-perimeter

Andrew R. Conway, Anthony J. Guttmann

The paper proposes a conjectured generating function for counting k‑convex polyominoes based on their semi‑perimeter.

math.CO2026

Counting LEGO configurations

Anthony J Guttmann, Alexander Gunning, Rasmus M Nilsson

We discuss the problem of counting certain LEGO structures, primarily those comprising parallel $w \times 1$ tiles. These can be combined, as a single LEGO structure, by interlocki…

math.CO2024

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…

k-Convex Polyominoes by Semi-perimeter

Counting LEGO configurations

Counting occurrences of patterns in permutations

$k$ -Convex Polyominoes by Semi-perimeter