Number T(n,k) of self-avoiding planar walks of length k starting at (0,0), ending at (n,0), remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restriction that (0,1) is never used below the diagonal and (1,0) is never used above the diagonal; triangle T(n,k), k>=0, floor((sqrt(1+8*k)-1)/2)<=n<=k, read by columns.
A284652
Number T(n,k) of self-avoiding planar walks of length k starting at (0,0), ending at (n,0), remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restriction that (0,1) is never used below the diagonal and (1,0) is never used above the diagonal; triangle T(n,k), k>=0, floor((sqrt(1+8*k)-1)/2)<=n<=k, read by columns.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =4a(6) =1a(7) =4a(8) =9a(9) =1a(10) =4a(11) =8a(12) =21a(13) =7a(14) =16a(15) =22a(16) =51a(17) =3a(18) =21a(19) =54a(20) =54a(21) =127a(22) =1a(23) =17a(24) =87a(25) =178a(26) =142a(27) =323a(28) =1a(29) =15
External references
- oeis: A284652