Triangle read by rows: T(n, k) is the number of walks of length 2*n on the N X N grid with unit steps in all four directions (NSWE) starting at (0, 0). k is the common value of the x- and the y-coordinate of the endpoint of the walk.
A380119
Triangle read by rows: T(n, k) is the number of walks of length 2*n on the N X N grid with unit steps in all four directions (NSWE) starting at (0, 0). k is the common value of the x- and the y-coordinate of the endpoint of the walk.
Terms
- a(0) =1a(1) =2a(2) =2a(3) =10a(4) =16a(5) =6a(6) =70a(7) =140a(8) =90a(9) =20a(10) =588a(11) =1344a(12) =1134a(13) =448a(14) =70a(15) =5544a(16) =13860a(17) =13860a(18) =7392a(19) =2100a(20) =252a(21) =56628a(22) =151008a(23) =169884a(24) =109824a(25) =42900a(26) =9504a(27) =924a(28) =613470a(29) =1717716
External references
- oeis: A380119