Number of Dyck paths of knight moves.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =3a(5) =2a(6) =12a(7) =14a(8) =54a(9) =86a(10) =274a(11) =528a(12) =1515a(13) =3266a(14) =8854a(15) =20422a(16) =53786a(17) =129368a(18) =336103a(19) =830148a(20) =2145020a(21) =5390580a(22) =13913325a(23) =35378586a(24) =91415954a(25) =234397542a(26) =606983495a(27) =1566013450a(28) =4065765499a(29) =10540066710