... path of L2(n)the number of VH’s plus the number of VV’s is n, while the number of HV’s plusthe number of VV depends on the path. On the other hand, on any path of A2(n)the number of HV ... HV ’s plus the number of VV’s is n, while the number of VH’s plusthe number of VV’s depends on the path.)We have a bijectionG : A2(n) −→ A03(n)the electronic journal of combinatorics ... path Qbe obtained from Q by relabeling each noninitial double ascent of Q by one of four pairs, pp, pa, ap,oraa,where each pair of letters designates the presence of respective singleton labels...