Number of self-avoiding planar walks starting at (0,0), ending at (n,0), not extending above the line (x,2x) or below the line (x,-2x), and using steps (0,1), (-1,1), and (1,-1) with the restriction that (-1,1) and (1,-1) are always immediately followed by (0,1).

A328139

Number of self-avoiding planar walks starting at (0,0), ending at (n,0), not extending above the line (x,2x) or below the line (x,-2x), and using steps (0,1), (-1,1), and (1,-1) with the restriction that (-1,1) and (1,-1) are always immediately followed by (0,1).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =11a(5) =29a(6) =80a(7) =222a(8) =622a(9) =1758a(10) =5000a(11) =14296a(12) =41049a(13) =118281a(14) =341852a(15) =990570a(16) =2876821a(17) =8371453a(18) =24403371a(19) =71248708a(20) =208311036a(21) =609812089a(22) =1787215592a(23) =5243371099a(24) =15397785369a(25) =45257023128a(26) =133126287754a(27) =391890954915

External references