T(n,k) = Number of n X k nonnegative integer arrays with upper left 0 and lower right n+k-5 and value increasing by 0 or 1 with every step right or down.

A252976

T(n,k) = Number of n X k nonnegative integer arrays with upper left 0 and lower right n+k-5 and value increasing by 0 or 1 with every step right or down.

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =1a(8) =1a(9) =1a(10) =4a(11) =13a(12) =18a(13) =13a(14) =4a(15) =10a(16) =61a(17) =153a(18) =153a(19) =61a(20) =10a(21) =20a(22) =192a(23) =770a(24) =1236a(25) =770a(26) =192a(27) =20a(28) =35a(29) =483

External references