Number of n X 3 0..1 arrays with rows, antidiagonals and columns unimodal.

Terms

a(0) =7a(1) =49a(2) =229a(3) =801a(4) =2297a(5) =5699a(6) =12657a(7) =25753a(8) =48811a(9) =87253a(10) =148501a(11) =242425a(12) =381837a(13) =583031a(14) =866369a(15) =1256913a(16) =1785103a(17) =2487481a(18) =3407461a(19) =4596145a(20) =6113185a(21) =8027691a(22) =10419185a(23) =13378601a(24) =17009331a(25) =21428317a(26) =26767189a(27) =33173449a(28) =40811701a(29) =49864927