Number T(n,k) of permutations of [n] with exactly k occurrences of the consecutive step pattern up, down, down, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows.

A242820

Number T(n,k) of permutations of [n] with exactly k occurrences of the consecutive step pattern up, down, down, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =6a(4) =24a(5) =116a(6) =4a(7) =672a(8) =48a(9) =4536a(10) =504a(11) =34944a(12) =5376a(13) =302896a(14) =59488a(15) =496a(16) =2916992a(17) =697856a(18) =13952a(19) =30899616a(20) =8720448a(21) =296736a(22) =357080064a(23) =116109312a(24) =5812224a(25) =4470310976a(26) =1645662912a(27) =110697408a(28) =349504a(29) =60269056512

External references