T(n,k) = Number of (n+1) X (k+1) 0..2 arrays x(i,j) with row sums Sum_{j=1..k+1} x(i,j) nondecreasing, and column sums Sum_{i=1..n+1} i*x(i,j) nondecreasing.

A233117

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays x(i,j) with row sums Sum_{j=1..k+1} x(i,j) nondecreasing, and column sums Sum_{i=1..n+1} i*x(i,j) nondecreasing.

Terms

    a(0) =29a(1) =112a(2) =123a(3) =365a(4) =1182a(5) =464a(6) =1079a(7) =9514a(8) =11741a(9) =1636a(10) =2969a(11) =67130a(12) =252958a(13) =110078a(14) =5523a(15) =7697a(16) =427059a(17) =4736663a(18) =6419678a(19) =980034a(20) =18027a(21) =19161a(22) =2495541a(23) =79223727a(24) =326851781a(25) =155904223a(26) =8365600a(27) =57505a(28) =46225a(29) =13620058

External references