Combinatorial identities deriving from the th power of a  matrix.

Mc Laughlin, James

Displaying similar documents to “Combinatorial identities deriving from the $n$ th power of a $2 \times 2$ matrix.”

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In this paper some decompositions of Cauchy polynomials, Ferrers-Jackson polynomials and polynomials of the form x 2n + y 2n , n ∈ ℕ, are studied. These decompositions are used to generate the identities for powers of Fibonacci and Lucas numbers as well as for powers of the so called conjugate recurrence sequences. Also, some new identities for Chebyshev polynomials of the first kind are presented here.

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