Triangle read by rows: T(n,k) is the number of compositions of set {1, 2, ..., k} into exactly n blocks, each of size 1, 2 or 3 (n >= 0, 0 <= k <= 3*n).

A189804

Triangle read by rows: T(n,k) is the number of compositions of set {1, 2, ..., k} into exactly n blocks, each of size 1, 2 or 3 (n >= 0, 0 <= k <= 3*n).

Terms

    a(0) =1a(1) =0a(2) =1a(3) =1a(4) =1a(5) =0a(6) =0a(7) =2a(8) =6a(9) =14a(10) =20a(11) =20a(12) =0a(13) =0a(14) =0a(15) =6a(16) =36a(17) =150a(18) =450a(19) =1050a(20) =1680a(21) =1680a(22) =0a(23) =0a(24) =0a(25) =0a(26) =24a(27) =240a(28) =1560a(29) =7560

External references