2 papers
math.CO2000
Spectral Properties of a Binomial Matrix
Pantelimon Stanica, Rhodes Peele
In this paper we study some further properties of the matrix with entries binom{i-1}{n-j}. We find the generating function for each row and column, and we find the eigenvalues and…
math.CO2000
Matrix Powers of Column-Justified Pascal Triangles and Fibonacci Sequences
Rhodes Peele, Pantelimon Stanica
If L, respectively R are matrices with entries binom{i-1,j-1}, respectively binom{i-1,n-j}, it is known that L^2 = I (mod 2), respectively R^3 = I (mod 2), where I is the identity…