Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and having k DDUU's, where U=(1,1), D=(1,-1) (0<=k<=floor(n/2)-1 for n>=2).

A114492

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and having k DDUU's, where U=(1,1), D=(1,-1) (0<=k<=floor(n/2)-1 for n>=2).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =13a(5) =1a(6) =35a(7) =7a(8) =97a(9) =34a(10) =1a(11) =275a(12) =143a(13) =11a(14) =794a(15) =558a(16) =77a(17) =1a(18) =2327a(19) =2083a(20) =436a(21) =16a(22) =6905a(23) =7559a(24) =2180a(25) =151a(26) =1a(27) =20705a(28) =26913a(29) =10051

External references