Number of permutations of length n which avoid the patterns 2314, 3241, 4312.

Terms

a(0) =1a(1) =2a(2) =6a(3) =21a(4) =73a(5) =244a(6) =782a(7) =2415a(8) =7232a(9) =21122a(10) =60455a(11) =170228a(12) =473014a(13) =1300271a(14) =3543000a(15) =9584730a(16) =25776439a(17) =68985676a(18) =183892142a(19) =488588991a(20) =1294654352a(21) =3422964722a(22) =9033615431a(23) =23805283556a(24) =62654864998a(25) =164741271119