Number T(n,k) of permutations of {0,1,...,2n} with first element k whose sequence of ascents and descents forms a Dyck path; triangle T(n,k), n>=0, 0<=k<=2n, read by rows.
A316728
Number T(n,k) of permutations of {0,1,...,2n} with first element k whose sequence of ascents and descents forms a Dyck path; triangle T(n,k), n>=0, 0<=k<=2n, read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =0a(4) =8a(5) =7a(6) =5a(7) =2a(8) =0a(9) =172a(10) =150a(11) =121a(12) =87a(13) =52a(14) =22a(15) =0a(16) =7296a(17) =6440a(18) =5464a(19) =4411a(20) =3337a(21) =2306a(22) =1380a(23) =604a(24) =0a(25) =518324a(26) =463578a(27) =405024a(28) =344260a(29) =283073
External references
- oeis: A316728