Triangle read by rows: T(n,k) is the number of permutations of [n] having k small descents (n >= 1; 0 <= k <= n-1). A small descent in a permutation (x_1,x_2,...,x_n) is a position i such that x_i - x_(i+1) = 1.

A123513

Triangle read by rows: T(n,k) is the number of permutations of [n] having k small descents (n >= 1; 0 <= k <= n-1). A small descent in a permutation (x_1,x_2,...,x_n) is a position i such that x_i - x_(i+1) = 1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =2a(5) =1a(6) =11a(7) =9a(8) =3a(9) =1a(10) =53a(11) =44a(12) =18a(13) =4a(14) =1a(15) =309a(16) =265a(17) =110a(18) =30a(19) =5a(20) =1a(21) =2119a(22) =1854a(23) =795a(24) =220a(25) =45a(26) =6a(27) =1a(28) =16687a(29) =14833

External references