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

A250527

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

Terms

    a(0) =50a(1) =222a(2) =222a(3) =867a(4) =1180a(5) =867a(6) =3123a(7) =5029a(8) =5029a(9) =3123a(10) =10660a(11) =18859a(12) =21955a(13) =18859a(14) =10660a(15) =35064a(16) =65310a(17) =82023a(18) =82023a(19) =65310a(20) =35064a(21) =112373a(22) =214812a(23) =279161a(24) =300131a(25) =279161a(26) =214812a(27) =112373a(28) =353517a(29) =682921

External references