Mathematics – Combinatorics
Scientific paper
2011-02-24
Mathematics
Combinatorics
20 pages
Scientific paper
We prove several theorems concerning arithmetic properties of Stern
polynomials defined in the following way: $B_{0}(t)=0, B_{1}(t)=1,
B_{2n}(t)=tB_{n}(t)$, and $B_{2n+1}(t)=B_{n}(t)+B_{n+1}(t)$. We study also the
sequence $e(n)=\op{deg}_{t}B_{n}(t)$ and give various of its properties.
Ulas Maciej
Ulas Oliwia
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