Maximal number of 165432 patterns in a permutation of 1,2,...,n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =6a(7) =21a(8) =56a(9) =126a(10) =252a(11) =504a(12) =924a(13) =1584a(14) =2574a(15) =4004a(16) =6006a(17) =9009a(18) =13104a(19) =18564a(20) =25704a(21) =34884a(22) =46512a(23) =62016a(24) =81396a(25) =105336a(26) =134596a(27) =170016a(28) =212520a(29) =265650