a(n) is the number of walks from (0,0) to (0,1) that remain in the upper half-plane y >= 0 using (2*n - 1) unit steps either up (U), down (D), left (L) or right (R).
A145600
a(n) is the number of walks from (0,0) to (0,1) that remain in the upper half-plane y >= 0 using (2*n - 1) unit steps either up (U), down (D), left (L) or right (R).
Terms
- a(0) =1a(1) =8a(2) =75a(3) =784a(4) =8820a(5) =104544a(6) =1288287a(7) =16359200a(8) =212751396a(9) =2821056160a(10) =38013731756a(11) =519227905728
External references
- oeis: A145600