For any integer s ≥ 0, we derive a combinatorial interpretation for the family of sequences generated by the recursion (parameterized by s) hs(n) = hs(n − s − hs(n − 1)) + hs(n − 2− s − hs(n − 3)), n > s + 3, with the initial conditions hs(1) = hs(2) = · · · = hs(s+2) = 1 and hs(s+3) = 2. We show how these sequences count the number of leaves of a certain infinite tree structure. Using this int...

Chekhov's drama “Three Sisters” is the richest of all plays in terms sound design – despite a number scientific works devoted to score play, it still attracts attention researchers this aspect. Today seems relevant consider sounds, noises, musical fragments drama, recorded by author remarks and text, constituting an integral part with semantic field drama. This article shows that conce...