Number of 5 X n 0..1 arrays with rows unimodal and columns nondecreasing.

Terms

a(0) =6a(1) =36a(2) =161a(3) =581a(4) =1792a(5) =4900a(6) =12174a(7) =27966a(8) =60172a(9) =122464a(10) =237590a(11) =442118a(12) =793092a(13) =1377174a(14) =2322967a(15) =3817351a(16) =6126818a(17) =9624964a(18) =14827487a(19) =22436251a(20) =33394208a(21) =48953224a(22) =70757132a(23) =100942636a(24) =142261016a(25) =198223936a(26) =273277036a(27) =373005396