Number of self-avoiding planar walks of length n starting at (0,0), ending on the x-axis, 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.

A284415

Number of self-avoiding planar walks of length n starting at (0,0), ending on the x-axis, 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) =3a(3) =5a(4) =14a(5) =34a(6) =96a(7) =259a(8) =748a(9) =2142a(10) =6329a(11) =18727a(12) =56358a(13) =170370a(14) =520354a(15) =1596980a(16) =4935307a(17) =15319460a(18) =47794472a(19) =149681904a(20) =470620062a(21) =1484513696a(22) =4697619876a(23) =14906459690a(24) =47426014833a(25) =151247657528a(26) =483426998881

External references