Triangle read by rows: T(n,k) is the number of 3-dimensional balanced ballot paths of 3n steps such that the height is exactly k, 2 <= k <= 2*n.

A387912

Triangle read by rows: T(n,k) is the number of 3-dimensional balanced ballot paths of 3n steps such that the height is exactly k, 2 <= k <= 2*n.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =2a(4) =1a(5) =8a(6) =18a(7) =10a(8) =5a(9) =1a(10) =26a(11) =120a(12) =142a(13) =117a(14) =42a(15) =14a(16) =1a(17) =80a(18) =720a(19) =1480a(20) =1789a(21) =1130a(22) =596a(23) =168a(24) =42a(25) =1a(26) =242a(27) =4122a(28) =13680a(29) =23205

External references