Number of n-step self-avoiding walks on one quadrant of a 2D square lattice where the walk cannot step to the smaller square ring of numbers than the ring it is currently on.

A348009

Number of n-step self-avoiding walks on one quadrant of a 2D square lattice where the walk cannot step to the smaller square ring of numbers than the ring it is currently on.

Terms

    a(0) =1a(1) =2a(2) =4a(3) =10a(4) =22a(5) =52a(6) =118a(7) =282a(8) =646a(9) =1544a(10) =3576a(11) =8546a(12) =19924a(13) =47612a(14) =111536a(15) =266488a(16) =626520a(17) =1496670a(18) =3528470a(19) =8427952a(20) =19913078a(21) =47559756a(22) =112572916a(23) =268857568a(24) =637327742a(25) =1522153378a(26) =3612811784a(27) =8629110414a(28) =20503211908a(29) =48975965026

External references