a(n)=number of Catalan knight paths in Quadrant I from (0,0) to points on the vertical line x=n. A Catalan knight moves (2 right and 1 up) or (1 right and 1 down).
A096588
a(n)=number of Catalan knight paths in Quadrant I from (0,0) to points on the vertical line x=n. A Catalan knight moves (2 right and 1 up) or (1 right and 1 down).
Terms
- a(0) =1a(1) =1a(2) =3a(3) =6a(4) =16a(5) =38a(6) =99a(7) =248a(8) =646a(9) =1659a(10) =4342a(11) =11307a(12) =29740a(13) =78115a(14) =206349a(15) =545156a(16) =1445332a(17) =3834559a(18) =10197168a(19) =27140709a(20) =72357778a(21) =193076677a(22) =515843630a(23) =1379308111a(24) =3691755414a(25) =9888374480a(26) =26507373732a(27) =71103941488a(28) =190859621124
External references
- oeis: A096588