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

Terms

a(0) =8a(1) =27a(2) =58a(3) =106a(4) =175a(5) =269a(6) =392a(7) =548a(8) =741a(9) =975a(10) =1254a(11) =1582a(12) =1963a(13) =2401a(14) =2900a(15) =3464a(16) =4097a(17) =4803a(18) =5586a(19) =6450a(20) =7399a(21) =8437a(22) =9568a(23) =10796a(24) =12125a(25) =13559a(26) =15102a(27) =16758a(28) =18531a(29) =20425