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

Terms

a(0) =22a(1) =148a(2) =554a(3) =1573a(4) =3827a(5) =8375a(6) =16885a(7) =31841a(8) =56783a(9) =96579a(10) =157729a(11) =248701a(12) =380299a(13) =566063a(14) =822701a(15) =1170553a(16) =1634087a(17) =2242427a(18) =3029913a(19) =4036693a(20) =5309347a(21) =6901543a(22) =8874725a(23) =11298833a(24) =14253055a(25) =17826611a(26) =22119569a(27) =27243693a(28) =33323323a(29) =40496287