Augustine O. Munagi

most citedSmooth words and Chebyshev polynomials

2 citations · 2 across the 3 of their papers we have counts for

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math.CO2019

Binary compositions and semi-Pell compositions

William J. Keith, Augustine O. Munagi

In analogy with the semi-Fibonacci partitions studied recently by Andrews, we define semi-Pell compositions and semi- $m$ -Pell compositions. We find that these are in bijection with…

math.CO2019

Power Partitions and Semi-m-Fibonacci Partitions

Abdulaziz M. Alanazi, Augustine O. Munagi, Darlison Nyirenda

George Andrews recently proved a new identity between the cardinalities of the set of Semi-Fibonacci partitions and the set of partitions into powers of two with all parts appearin…

math.CO2008★ 2 cited

Smooth words and Chebyshev polynomials

Arnold Knopfmacher, Toufik Mansour, Augustine Munagi +1

A word $σ = σ_{1} ... σ_{n}$ over the alphabet $[k] = {1, 2, ..., k}$ is said to be {\em smooth} if there are no two adjacent letters with difference greater than 1. A word $σ$ is said to be…