3 citations · 3 across the 5 of their papers we have counts for
5 papers
A Universal Closed Form For Square Matrix Powers
Walter Shur
This note presents a simple, universal closed form for the powers of any square matrix. A diligent search of the internet gave no indication that the form is known.
The Last Digit of and
Walter Shur
Let , . Let be the set of all positive integers n, in increas…
Even and Odd Pairs of Lattice Paths with Multiple Intersections
Ira M. Gessel, Walter Shur
Let M(n,k,r,s) be the number of ordered paths in the plane, with unit steps E or N, that intersect k times in which the first path ends at the point (r,n-r) and the second path end…
A Generalized Closed Form For Triangular Matrix Powers
Walter Shur
This paper shows how to obtain a simple closed form for the elements of a triangular matrix raised to the nth power.
Counting pairs of lattice paths by intersections
Ira Gessel, Wayne Goddard, Walter Shur +2
On an lattice rectangle, we first consider walks that begin at the SW corner, proceed with unit steps in either of the directions E or N, and terminate at the NE co…