T(n,k)=Number of nXk 0..1 arrays with row sums nondecreasing and column sums unimodal.

Terms

a(0) =2a(1) =4a(2) =3a(3) =7a(4) =11a(5) =4a(6) =11a(7) =35a(8) =26a(9) =5a(10) =16a(11) =98a(12) =147a(13) =57a(14) =6a(15) =22a(16) =260a(17) =751a(18) =574a(19) =120a(20) =7a(21) =29a(22) =643a(23) =3560a(24) =5303a(25) =2114a(26) =247a(27) =8a(28) =37a(29) =1563