Number of 6Xn 0..1 arrays with rows unimodal and columns nondecreasing.

Terms

a(0) =7a(1) =49a(2) =252a(3) =1036a(4) =3612a(5) =11088a(6) =30738a(7) =78354a(8) =186142a(9) =416394a(10) =884236a(11) =1794196a(12) =3497248a(13) =6577474a(14) =11980667a(15) =21201211a(16) =36548573a(17) =61520899a(18) =101320712a(19) =163556776a(20) =259187048a(21) =403770544a(22) =619111172a(23) =935394436a(24) =1393938716a(25) =2050706932