T(n,k) = number of permutations of {1..n} with fewer than k interior elements having values lying between the values of their neighbors.

A226441

T(n,k) = number of permutations of {1..n} with fewer than k interior elements having values lying between the values of their neighbors.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =1a(4) =2a(5) =4a(6) =1a(7) =2a(8) =6a(9) =10a(10) =1a(11) =2a(12) =6a(13) =22a(14) =32a(15) =1a(16) =2a(17) =6a(18) =24a(19) =90a(20) =122a(21) =1a(22) =2a(23) =6a(24) =24a(25) =118a(26) =422a(27) =544a(28) =1a(29) =2

External references