Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and starting with exactly k UD's, where U=(1,1), D=(1,-1) (0 <= k <= n).
A112413
Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and starting with exactly k UD's, where U=(1,1), D=(1,-1) (0 <= k <= n).
Terms
- a(0) =1a(1) =0a(2) =1a(3) =1a(4) =0a(5) =1a(6) =3a(7) =1a(8) =0a(9) =1a(10) =9a(11) =3a(12) =1a(13) =0a(14) =1a(15) =28a(16) =9a(17) =3a(18) =1a(19) =0a(20) =1a(21) =90a(22) =28a(23) =9a(24) =3a(25) =1a(26) =0a(27) =1a(28) =297a(29) =90
External references
- oeis: A112413