Number of ordered trees with n edges, with thinning limbs and with root of degree 2. An ordered tree with thinning limbs is such that if a node has k children, all its children have at most k children.

A124329

Number of ordered trees with n edges, with thinning limbs and with root of degree 2. An ordered tree with thinning limbs is such that if a node has k children, all its children have at most k children.

Terms

    a(0) =0a(1) =1a(2) =2a(3) =5a(4) =10a(5) =22a(6) =46a(7) =101a(8) =220a(9) =492a(10) =1104a(11) =2515a(12) =5762a(13) =13327a(14) =30994a(15) =72555a(16) =170654a(17) =403350a(18) =957134a(19) =2279947a(20) =5449012a(21) =13063595a(22) =31406516a(23) =75701507a(24) =182902336a(25) =442885682a(26) =1074604288a(27) =2612341855a(28) =6361782006a(29) =15518343596

External references