T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.

A253749

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.

Terms

    a(0) =81a(1) =450a(2) =450a(3) =1998a(4) =2723a(5) =1998a(6) =7803a(7) =10182a(8) =16625a(9) =7803a(10) =28107a(11) =29737a(12) =77414a(13) =75959a(14) =28107a(15) =95940a(16) =70590a(17) =247252a(18) =382973a(19) =305707a(20) =95940a(21) =315576a(22) =148134a(23) =583698a(24) =1143174a(25) =1636717a(26) =1087364a(27) =315576a(28) =1011357a(29) =298760

External references