4 citations · 8 across the 5 of their papers we have counts for
5 papers
On Two Families of Generalizations of Pascal's Triangle
Michael A. Allen, Kenneth Edwards
We consider two families of Pascal-like triangles that have all ones on the left side and ones separated by zeros on the right side. The cases are Pascal's triangle and…
Identities involving the tribonacci numbers squared via tiling with combs
Michael A. Allen, Kenneth Edwards
The number of ways to tile an -board (an rectangular board) with -, -, and -combs is where…
Connections between two classes of generalized Fibonacci numbers squared and permanents of (0,1) Toeplitz matrices
Michael A. Allen, Kenneth Edwards
By considering the tiling of an -board (a linear array of square cells of unit width) with new types of tile that we refer to as combs, we give a combinatorial interpretatio…
New Combinatorial Interpretations of the Fibonacci Numbers Squared, Golden Rectangle Numbers, and Jacobsthal Numbers Using Two Types of Tile
Kenneth Edwards, Michael A. Allen
We consider the tiling of an -board (a board of size ) with squares of unit width and -fence tiles. A -fence tile is composed of two unit-width square su…
A new combinatorial interpretation of the Fibonacci numbers squared
Kenneth Edwards, Michael A. Allen
We consider the tiling of an -board (a array of square cells of unit width) with half-squares ( tiles) and -fence tiles. A $(\frac…