Total number of nodes in all 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).

A328140

Total number of nodes in all 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) =2a(2) =8a(3) =22a(4) =81a(5) =260a(6) =854a(7) =2738a(8) =8710a(9) =27550a(10) =86696a(11) =271726a(12) =848681a(13) =2642662a(14) =8207726a(15) =25434686a(16) =78663773a(17) =242865100a(18) =748650655a(19) =2304552576a(20) =7085109570a(21) =21757557324a(22) =66745430284a(23) =204559349854a(24) =626379255199

External references