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

Terms

a(0) =6a(1) =36a(2) =155a(3) =526a(4) =1509a(5) =3827a(6) =8838a(7) =18969a(8) =38392a(9) =74053a(10) =137204a(11) =245636a(12) =426869a(13) =722624a(14) =1194983a(15) =1934737a(16) =3072530a(17) =4793530a(18) =7356497a(19) =11118274a(20) =16564901a(21) =24350745a(22) =35347252a(23) =50703161a(24) =71918276a(25) =100933171a(26) =140237506a(27) =192999960