Super-Catalan triangle (read by rows) = triangular array associated with little Schroeder numbers (read by rows): T(0,0)=1, T(p,q) = T(p,q-1) if 0 < p = q, T(p,q) = T(p,q-1) + T(p-1,q) + T(p-1,q-1) if -1 < p < q and T(p,q) = 0 otherwise.
A144944
Super-Catalan triangle (read by rows) = triangular array associated with little Schroeder numbers (read by rows): T(0,0)=1, T(p,q) = T(p,q-1) if 0 < p = q, T(p,q) = T(p,q-1) + T(p-1,q) + T(p-1,q-1) if -1 < p < q and T(p,q) = 0 otherwise.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =3a(6) =1a(7) =5a(8) =11a(9) =11a(10) =1a(11) =7a(12) =23a(13) =45a(14) =45a(15) =1a(16) =9a(17) =39a(18) =107a(19) =197a(20) =197a(21) =1a(22) =11a(23) =59a(24) =205a(25) =509a(26) =903a(27) =903a(28) =1a(29) =13
External references
- oeis: A144944