Total number of nodes in all self-avoiding planar walks starting at (0,0), ending at (n,n), remaining in the first quadrant 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).

A327872

Total number of nodes in all self-avoiding planar walks starting at (0,0), ending at (n,n), remaining in the first quadrant 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) =4a(2) =21a(3) =148a(4) =980a(5) =6444a(6) =41888a(7) =270088a(8) =1730079a(9) =11023480a(10) =69930146a(11) =441988260a(12) =2784820519a(13) =17499028820a(14) =109701885600a(15) =686313858480

External references