A318817 Number of rooted trees with n nodes such that two equals the maximal number of subtrees of the same size extending from the same node.

0, 1, 1, 4, 9, 22, 54, 139, 346, 892, 2290, 5945, 15465, 40527, 106308, 280629, 742107, 1969394, 5239322, 13980900, 37368692, 100157418, 268900827, 723400570, 1949440608, 5262932344, 14227803491, 38529294292, 104473993774, 283672750693, 771229441388

Offset: 2

Author

Alois P. Heinz, Sep 04 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 2..2213

Crossrefs

Column k=2 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))(2):
seq(a(n), n=2..32);