a(n) = number of knight's move paths of minimal length n steps, from origin at center of an infinite open chessboard to square (0,0) for n=0; to square (2,-1) for n=1; and to square ([(3n-3)/2], [(3n-4)/2]) for n>=2.
A242512
a(n) = number of knight's move paths of minimal length n steps, from origin at center of an infinite open chessboard to square (0,0) for n=0; to square (2,-1) for n=1; and to square ([(3n-3)/2], [(3n-4)/2]) for n>=2.
Terms
- a(0) =1a(1) =1a(2) =2a(3) =9a(4) =32a(5) =85a(6) =240a(7) =588a(8) =1512a(9) =3564a(10) =8700a(11) =19965a(12) =47124a(13) =105963a(14) =244244a(15) =540540a(16) =1224080a(17) =2674984a(18) =5974956a(19) =12924522a(20) =28553200a(21) =61250490a(22) =134104432a(23) =285689624a(24) =620826672a(25) =1314933000a(26) =2839363800a(27) =5984393805a(28) =12852021420a(29) =26973910215
External references
- oeis: A242512