Triangle read by rows: T(n,k) is the number of L-convex polyominoes of semiperimeter n, having k maximal rectangles (n >= 2, 1 <= k <= floor(n/2)). An L-convex polyomino is a convex polyomino in which any two cells can be connected by a path internal to the polyomino and which has at most 1 change of direction (i.e., one of the four orientations of the letter L). A maximal rectangle in an L-convex polyomino P is a rectangle included in P that is maximal with respect to inclusion.

A181368

Triangle read by rows: T(n,k) is the number of L-convex polyominoes of semiperimeter n, having k maximal rectangles (n >= 2, 1 <= k <= floor(n/2)). An L-convex polyomino is a convex polyomino in which any two cells can be connected by a path internal to the polyomino and which has at most 1 change of direction (i.e., one of the four orientations of the letter L). A maximal rectangle in an L-convex polyomino P is a rectangle included in P that is maximal with respect to inclusion.

Terms

    a(0) =1a(1) =2a(2) =3a(3) =4a(4) =4a(5) =20a(6) =5a(7) =61a(8) =16a(9) =6a(10) =146a(11) =128a(12) =7a(13) =301a(14) =584a(15) =64a(16) =8a(17) =560a(18) =1992a(19) =704a(20) =9a(21) =966a(22) =5641a(23) =4272a(24) =256a(25) =10a(26) =1572a(27) =14002a(28) =18880a(29) =3584

External references