Number of nX5 0..2 arrays with rows unimodal and columns nondecreasing.

Terms

a(0) =86a(1) =1600a(2) =14751a(3) =89380a(4) =408222a(5) =1519738a(6) =4844576a(7) =13669953a(8) =34953776a(9) =82399174a(10) =181434331a(11) =376946128a(12) =744873156a(13) =1409068188a(14) =2565196232a(15) =4513845865a(16) =7705502706a(17) =12800568660a(18) =20748212991a(19) =32888515396a(20) =51083111090a(21) =77880377510