Number of rooted trees with total weight n, where the weight of a node at height k is k (with the root considered to be at level 1).

A117357

Number of rooted trees with total weight n, where the weight of a node at height k is k (with the root considered to be at level 1).

Terms

    a(0) =0a(1) =1a(2) =0a(3) =1a(4) =0a(5) =1a(6) =1a(7) =1a(8) =1a(9) =2a(10) =2a(11) =3a(12) =3a(13) =4a(14) =5a(15) =7a(16) =7a(17) =11a(18) =12a(19) =16a(20) =19a(21) =25a(22) =29a(23) =38a(24) =46a(25) =59a(26) =72a(27) =91a(28) =110a(29) =141

External references