Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having exactly k UUU's (triple rises) where U=(1,1). Rows have 1,1,1,2,3,4,5,... entries, respectively.

A092107

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having exactly k UUU's (triple rises) where U=(1,1). Rows have 1,1,1,2,3,4,5,... entries, respectively.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =1a(5) =9a(6) =4a(7) =1a(8) =21a(9) =15a(10) =5a(11) =1a(12) =51a(13) =50a(14) =24a(15) =6a(16) =1a(17) =127a(18) =161a(19) =98a(20) =35a(21) =7a(22) =1a(23) =323a(24) =504a(25) =378a(26) =168a(27) =48a(28) =8a(29) =1

External references