Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals four.

A288543

Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals four.

Terms

    a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =5a(6) =56a(7) =240a(8) =620a(9) =1220a(10) =2201a(11) =4501a(12) =14231a(13) =67597a(14) =332768a(15) =1455695a(16) =5611277a(17) =19525749a(18) =63217514a(19) =197236391a(20) =617466587a(21) =2015606482a(22) =7005348816a(23) =25768091554a(24) =97973413377a(25) =375778678054

External references