Number A(n,k) of walks on square lattice from (n,k) to (0,0) using steps that decrease the Euclidean distance to the origin and increase the Euclidean distance to (n,k) and that change each coordinate by at most 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

A346540

Number A(n,k) of walks on square lattice from (n,k) to (0,0) using steps that decrease the Euclidean distance to the origin and increase the Euclidean distance to (n,k) and that change each coordinate by at most 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =3a(5) =3a(6) =7a(7) =5a(8) =5a(9) =7a(10) =19a(11) =24a(12) =13a(13) =24a(14) =19a(15) =51a(16) =81a(17) =25a(18) =25a(19) =81a(20) =51a(21) =141a(22) =298a(23) =173a(24) =63a(25) =173a(26) =298a(27) =141a(28) =393a(29) =1070

External references