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

Terms

a(0) =11a(1) =46a(2) =124a(3) =272a(4) =526a(5) =930a(6) =1536a(7) =2404a(8) =3602a(9) =5206a(10) =7300a(11) =9976a(12) =13334a(13) =17482a(14) =22536a(15) =28620a(16) =35866a(17) =44414a(18) =54412a(19) =66016a(20) =79390a(21) =94706a(22) =112144a(23) =131892a(24) =154146a(25) =179110a(26) =206996a(27) =238024a(28) =272422a(29) =310426