T(n,k) is the number of n X k 0..3 arrays with row sums nondecreasing and column sums unimodal.

Terms

a(0) =4a(1) =16a(2) =10a(3) =50a(4) =150a(5) =20a(6) =130a(7) =1747a(8) =1080a(9) =35a(10) =296a(11) =16782a(12) =47059a(13) =6627a(14) =56a(15) =610a(16) =140210a(17) =1703178a(18) =1070499a(19) =36552a(20) =84a(21) =1163a(22) =1050460a(23) =53355889a(24) =145901795a(25) =21632718a(26) =187000a(27) =120a(28) =2083a(29) =7227405