a(n) is the total number of down steps between the (n-1)-th and n-th up steps in all 2-Dyck paths of length 3*n. A 2-Dyck path is a nonnegative path with steps (1, 2), (1, -1) that starts and ends at y = 0.
A334976
a(n) is the total number of down steps between the (n-1)-th and n-th up steps in all 2-Dyck paths of length 3*n. A 2-Dyck path is a nonnegative path with steps (1, 2), (1, -1) that starts and ends at y = 0.
Terms
- a(0) =0a(1) =0a(2) =3a(3) =19a(4) =108a(5) =609a(6) =3468a(7) =20007a(8) =116886a(9) =690690a(10) =4122495a(11) =24823188a(12) =150629248a(13) =920274804a(14) =5656456104a(15) =34954487967a(16) =217044280458
External references
- oeis: A334976