Triangle read by rows: T(n,k) is the number of permutations of [n] having no 3-sequences and having k successions (0 <= k <= floor(n/2)); a succession of a permutation p is a position i such that p(i +1) - p(i) = 1.

A180185

Triangle read by rows: T(n,k) is the number of permutations of [n] having no 3-sequences and having k successions (0 <= k <= floor(n/2)); a succession of a permutation p is a position i such that p(i +1) - p(i) = 1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =2a(6) =11a(7) =9a(8) =1a(9) =53a(10) =44a(11) =9a(12) =309a(13) =265a(14) =66a(15) =3a(16) =2119a(17) =1854a(18) =530a(19) =44a(20) =16687a(21) =14833a(22) =4635a(23) =530a(24) =11a(25) =148329a(26) =133496a(27) =44499a(28) =6180a(29) =265

External references