Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive patterns 123, 1432, 2431, 3421; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

A231210

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive patterns 123, 1432, 2431, 3421; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =1a(5) =14a(6) =9a(7) =1a(8) =46a(9) =59a(10) =14a(11) =1a(12) =177a(13) =358a(14) =164a(15) =20a(16) =1a(17) =790a(18) =2235a(19) =1589a(20) =398a(21) =27a(22) =1a(23) =4024a(24) =14658a(25) =15034a(26) =5659a(27) =909a(28) =35a(29) =1

External references