Number of 6 X n 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.

Terms

a(0) =7a(1) =49a(2) =242a(3) =930a(4) =2985a(5) =8375a(6) =21183a(7) =49365a(8) =107697a(9) =222603a(10) =439909a(11) =837071a(12) =1542126a(13) =2762572a(14) =4828665a(15) =8257309a(16) =13844903a(17) =22800305a(18) =36932600a(19) =58912756a(20) =92633675a(21) =143699769a(22) =220085207a(23) =333009601a(24) =498091361a(25) =736852507a(26) =1078664659a(27) =1563244537