Total number of consecutive triples matching the pattern 132 in all faro permutations of length n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =4a(5) =10a(6) =28a(7) =61a(8) =152a(9) =318a(10) =748a(11) =1538a(12) =3496a(13) =7124a(14) =15832a(15) =32093a(16) =70192a(17) =141814a(18) =306508a(19) =617878a(20) =1323272a(21) =2663340a(22) =5662600a(23) =11383986a(24) =24061264a(25) =48330540a(26) =101653368a(27) =204049636a(28) =427414672a(29) =857503784