2 citations · 2 across the 5 of their papers we have counts for
5 papers · 1 filter
Metallic cubes
Tomislav Došlić, Luka Podrug
We study a recursively defined two-parameter family of graphs which generalize Fibonacci cubes and Pell graphs and determine their basic structural and enumerative properties. In p…
Sweet division problems: from chocolate bars to honeycomb strips and back
Tomislav Došlić, Luka Podrug
We consider two division problems on narrow strips of square and hexagonal lattices. In both cases we compute the bivariate enumerating sequences and the corresponding generating f…
Some Refinements of Formulae Involving Floor and Ceiling Functions
Luka Podrug, Dragutin Svrtan
The floor and ceiling functions appear often in mathematics and manipulating sums involving floors and ceilings is a subtle game. Fortunately, the well-known textbook Concrete Math…
Identities for full-history Horadam sequences
Tomislav Došlić, Luka Podrug
We prove a master identity for a class of sequences defined by full-history linear homogeneous recurrences with (non-negative) constant coefficients. The identity is derived in a c…
Tilings of a Honeycomb Strip and Higher Order Fibonacci Numbers
Tomislav Došlić, Luka Podrug
In this paper we explore two types of tilings of a honeycomb strip and derive some closed form formulas for the number of tilings. Furthermore, we obtain some new identities involv…