A318819 Number of rooted trees with n nodes such that four equals the maximal number of subtrees of the same size extending from the same node.

0, 1, 1, 3, 8, 23, 61, 167, 461, 1288, 3593, 10084, 28381, 80218, 227156, 644864, 1834290, 5227297, 14919502, 42644478, 122047963, 349716506, 1003120145, 2880163515, 8276937322, 23805829084, 68521035251, 197365718477, 568859465838, 1640609651599, 4734261078026

Offset: 4

Author

Alois P. Heinz, Sep 04 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 4..2143

Crossrefs

Column k=4 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))(4):
seq(a(n), n=4..34);