Abstract: The paper deals with counting sets of given magnitude whose elements are self-avoiding paths with nodes from a fixed set of points on a circle. Some of the obtained formulae provide new properties of entries in ``The On-line Encyclopaedia of Integer Sequences", while others generate new entries therein.
Keywords: enumerative combinatorics; self-avoiding path; convex polygon
DOI: DOI 10.14712/1213-7243.2024.010
AMS Subject Classification: 05A15