Number of permutations of length n which avoid the patterns 2314, 3241, 4132.

Terms

a(0) =1a(1) =2a(2) =6a(3) =21a(4) =72a(5) =236a(6) =745a(7) =2286a(8) =6866a(9) =20285a(10) =59156a(11) =170712a(12) =488401a(13) =1387226a(14) =3916062a(15) =10996581a(16) =30737760a(17) =85573316a(18) =237387961a(19) =656451270a(20) =1810142186a(21) =4978643597a(22) =13661617196a(23) =37409025456a(24) =102238082977a(25) =278920277426a(26) =759695287350