Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected, a path of 1's from top row to lower right corner, and no 1 having more than two 1's adjacent.

A391823

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected, a path of 1's from top row to lower right corner, and no 1 having more than two 1's adjacent.

Terms

    a(0) =1a(1) =2a(2) =1a(3) =3a(4) =5a(5) =1a(6) =4a(7) =11a(8) =7a(9) =1a(10) =5a(11) =21a(12) =28a(13) =11a(14) =1a(15) =6a(16) =38a(17) =80a(18) =63a(19) =18a(20) =1a(21) =7a(22) =66a(23) =200a(24) =259a(25) =138a(26) =29a(27) =1a(28) =8a(29) =112

External references