Number of permutations of [n] avoiding {1342, 2314, 4231}.

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =21a(5) =75a(6) =267a(7) =951a(8) =3407a(9) =12309a(10) =44867a(11) =164891a(12) =610347a(13) =2273020a(14) =8508804a(15) =31991549a(16) =120734511a(17) =457129176a(18) =1735730619a(19) =6607223257a(20) =25207606841a(21) =96365703918a(22) =369070368271