A note on the arithmetic properties of Stern Polynomials

Maciej Gawron

We investigate the Stern polynomials defined by $B_0(t)=0,B_1(t)=1$, and for $n\ge 2$ by the recurrence relations $B_{2n}(t)=t{B}_n(t),$ $B_{2n+1}( t) =B_n( t) +B_{n+…