A318822 Number of rooted trees with n nodes such that seven equals the maximal number of subtrees of the same size extending from the same node.

0, 1, 1, 3, 8, 22, 60, 167, 466, 1307, 3681, 10418, 29575, 84219, 240407, 687808, 1971588, 5661365, 16281441, 46888772, 135203432, 390301957, 1127881755, 3262409450, 9444778623, 27364912377, 79344893246, 230220066260, 668414195077, 1941813994013, 5644325624891

Offset: 7

Author

Alois P. Heinz, Sep 04 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 7..2137

Crossrefs

Column k=7 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))(7):
seq(a(n), n=7..37);