Number of permutations of [n] avoiding {4132, 4123, 1243}.

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =21a(5) =76a(6) =270a(7) =930a(8) =3114a(9) =10196a(10) =32820a(11) =104283a(12) =328048a(13) =1023854a(14) =3175395a(15) =9797833a(16) =30104416a(17) =92174093a(18) =281393563a(19) =856933273a(20) =2604185761a(21) =7899961881a(22) =23928712717a(23) =72385213846a(24) =218724040451a(25) =660278241111