Number of Dyck paths of semilength n having exactly one occurrence of the consecutive pattern UDUD.

A244236

Number of Dyck paths of semilength n having exactly one occurrence of the consecutive pattern UDUD.

Terms

    a(0) =0a(1) =0a(2) =1a(3) =1a(4) =5a(5) =14a(6) =46a(7) =150a(8) =495a(9) =1651a(10) =5539a(11) =18692a(12) =63356a(13) =215556a(14) =735717a(15) =2517941a(16) =8637881a(17) =29693938a(18) =102263818a(19) =352762106a(20) =1218634659a(21) =4215351719a(22) =14598518663a(23) =50611799048a(24) =175639493624a(25) =610076726280

External references