A318818 Number of rooted trees with n nodes such that three equals the maximal number of subtrees of the same size extending from the same node.

0, 1, 1, 3, 9, 23, 60, 166, 447, 1219, 3344, 9214, 25493, 70853, 197150, 550259, 1539767, 4314746, 12112304, 34063256, 95904943, 270375031, 763193304, 2156328194, 6098563949, 17264760959, 48912296290, 138683094562, 393514686620, 1117304554815, 3174397805762

Offset: 3

Author

Alois P. Heinz, Sep 04 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 3..2158

Crossrefs

Column k=3 of A318754.

Programs

Maple

g:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0, add(
      binomial(g(i-1$2, k)+j-1, j)*g(n-i*j, i-1, k), j=0..min(k, n/i))))
    end:
a:= n-> (k-> g(n-1$2, k) -g(n-1$2, k-1))(3):
seq(a(n), n=3..33);