T(n,k)=Number of nXk 0..2 arrays with rows nondecreasing and antidiagonals unimodal.

Terms

a(0) =3a(1) =6a(2) =9a(3) =10a(4) =36a(5) =27a(6) =15a(7) =100a(8) =216a(9) =81a(10) =21a(11) =225a(12) =868a(13) =1296a(14) =243a(15) =28a(16) =441a(17) =2661a(18) =7378a(19) =7776a(20) =729a(21) =36a(22) =784a(23) =6815a(24) =28541a(25) =62764a(26) =46656a(27) =2187a(28) =45a(29) =1296