Number of (1+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.

A250813

Number of (1+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.

Terms

    a(0) =36a(1) =100a(2) =225a(3) =441a(4) =784a(5) =1296a(6) =2025a(7) =3025a(8) =4356a(9) =6084a(10) =8281a(11) =11025a(12) =14400a(13) =18496a(14) =23409a(15) =29241a(16) =36100a(17) =44100a(18) =53361a(19) =64009a(20) =76176a(21) =90000a(22) =105625a(23) =123201a(24) =142884a(25) =164836a(26) =189225a(27) =216225a(28) =246016a(29) =278784

External references