Number of self-avoiding planar walks of length n*(n+1)/2 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.
A284418
Number of self-avoiding planar walks of length n*(n+1)/2 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.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =7a(4) =10a(5) =31a(6) =69a(7) =196a(8) =451a(9) =1168a(10) =2813a(11) =7119a(12) =17618a(13) =44206a(14) =111399a(15) =277972a(16) =709411a(17) =1763795a(18) =4543873a(19) =11269489a(20) =29244239a(21) =72402587a(22) =188977618a(23) =467258134a(24) =1225383748a(25) =3026799348a(26) =7969173506a(27) =19669004793a(28) =51959167749a(29) =128161003199
External references
- oeis: A284418