Mathematics – Combinatorics
Scientific paper
2011-03-14
Mathematics
Combinatorics
45 pages
Scientific paper
We study matrices which transform the sequence of Fibonacci or Lucas
polynomials with even index to those with odd index and vice versa. They turn
out to be intimately related to generalized Stirling numbers and to Bernoulli,
Genocchi and tangent numbers and give rise to various identities between these
numbers. There is also a close connection with the Akiyama-Tanigawa algorithm.
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