Walter Shur

activity

19942015

most citedA Generalized Closed Form For Triangular Matrix Powers

3 citations · 3 across the 5 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.CO2013

The Last Digit of $(n 2 n)$ and $\sum (i n) (n - i 2 n - 2 i)$

Walter Shur

Let $f_{n} = \sum_{i = 0}^{n} (i n) (n - i 2 n - 2 i)$ , $g_{n} = \sum_{i = 1}^{n} (i n) (n - i 2 n - 2 i)$ . Let ${a_{k}}_{k = 1}$ be the set of all positive integers n, in increas…

math.CO2013

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…

math.CO2013★ 3 cited

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.

The Last Digit of (n2n​) and ∑(in​)(n−i2n−2i​)

Even and Odd Pairs of Lattice Paths with Multiple Intersections

A Generalized Closed Form For Triangular Matrix Powers

The Last Digit of $(n 2 n)$ and $\sum (i n) (n - i 2 n - 2 i)$