Motzkin numbers out of Random Domino Automaton
  Motzkin numbers are derived from a special case of Random Domino Automaton - recently proposed toy model of earthquakes. An exact solution of the set of equations describing stationary state of Random Domino Automaton in "inverse-power" case is presented. A link with Motzkin numbers allows to present explicit form of asymptotic behaviour of the automaton. 
Mariusz Bia{\l}ecki
math-ph math.CO math.MP nlin.CG nlin.SI physics.geo-ph