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

7,4

Links

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

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);

Crossrefs

Column k=7 of A318754.

Sequence in context: A318865 A318823 A318864 * A318863 A318821 A014397

Adjacent sequences: A318819 A318820 A318821 * A318823 A318824 A318825

Keyword

nonn

Author

Alois P. Heinz, Sep 04 2018

Status

approved