a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 165) or the same sequence for the mesh patterns (12, 167), (12, 225), (12, 233), (12, 270), (12, 302), (12, 330), (12, 458).

A289589

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 165) or the same sequence for the mesh patterns (12, 167), (12, 225), (12, 233), (12, 270), (12, 302), (12, 330), (12, 458).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =5a(5) =15a(6) =48a(7) =159a(8) =538a(9) =1850a(10) =6446a(11) =22712a(12) =80794a(13) =289804a(14) =1047063a(15) =3807186a(16) =13921317a(17) =51160389a(18) =188858973a(19) =699999531a(20) =2604038517a(21) =9719460729a(22) =36387837723a(23) =136609040721a(24) =514179424239

External references