M. C. Lettington

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20122026

most citedOn Fibonacci Polynomial Expressions for Sums of

m

th Powers, their implications for Faulhaber's Formula and some Theorems of Fermat

1 citations · 2 across the 10 of their papers we have counts for

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math.NT2015★ 1 cited

On Fibonacci Polynomial Expressions for Sums of $m$ th Powers, their implications for Faulhaber's Formula and some Theorems of Fermat

M. W. Coffey, M. C. Lettington

Denote by $Σ n^{m}$ the sum of the $m$ -th powers of the first $n$ positive integers $1^{m} + 2^{m} + \dots + n^{m}$ . Similarly let $Σ^{r} n^{m}$ be the $r$ -fold sum of the $m$ -th powers of the firs…

math.NT2015

On Higher Dimensional Fibonacci Numbers, Chebyshev Polynomials and Sequences of Vector Convergents

Mark W. Coffey, James L. Hindmarsh, Matthew C. Lettington +1

We study higher-dimensional interlacing Fibonacci sequences, generated via both Chebyshev type functions and $m$ -dimensional recurrence relations. For each integer $m$ , there exist…

On Fibonacci Polynomial Expressions for Sums of mth Powers, their implications for Faulhaber's Formula and some Theorems of Fermat

On Higher Dimensional Fibonacci Numbers, Chebyshev Polynomials and Sequences of Vector Convergents

On Fibonacci Polynomial Expressions for Sums of $m$ th Powers, their implications for Faulhaber's Formula and some Theorems of Fermat