Triangle read by rows: T(n,k) is the number of binary trees (i.e., a rooted tree where each vertex has either 0, 1, or 2 children; and, when only one child is present, it is either a right child or a left child) with n edges and k pairs of adjacent vertices of outdegree 2.

A126219

Triangle read by rows: T(n,k) is the number of binary trees (i.e., a rooted tree where each vertex has either 0, 1, or 2 children; and, when only one child is present, it is either a right child or a left child) with n edges and k pairs of adjacent vertices of outdegree 2.

Terms

    a(0) =1a(1) =2a(2) =5a(3) =14a(4) =40a(5) =2a(6) =116a(7) =16a(8) =344a(9) =80a(10) =5a(11) =1040a(12) =340a(13) =50a(14) =3188a(15) =1360a(16) =300a(17) =14a(18) =9880a(19) =5264a(20) =1484a(21) =168a(22) =30912a(23) =19880a(24) =6776a(25) =1176a(26) =42a(27) =97520a(28) =73728a(29) =29568

External references