Number of 4 X n 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.

Terms

a(0) =5a(1) =25a(2) =92a(3) =272a(4) =691a(5) =1573a(6) =3296a(7) =6472a(8) =12058a(9) =21506a(10) =36961a(11) =61517a(12) =99542a(13) =157084a(14) =242371a(15) =366419a(16) =543763a(17) =793327a(18) =1139450a(19) =1613086a(20) =2253197a(21) =3108359a(22) =4238602a(23) =5717506a(24) =7634576a(25) =10097920a(26) =13237255a(27) =17207267a(28) =22191352a(29) =28405766