A318823 Number of rooted trees with n nodes such that eight equals the maximal number of subtrees of the same size extending from the same node.

0, 1, 1, 3, 8, 22, 60, 167, 465, 1307, 3682, 10422, 29593, 84291, 240663, 688685, 1974519, 5670976, 16312405, 46987424, 135514856, 391278424, 1130925409, 3271852293, 9473955776, 27454758665, 79620740071, 231064799358, 670995202298, 1949684311164, 5668282144436

Offset: 8

Author

Alois P. Heinz, Sep 04 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 8..2137

Crossrefs

Column k=8 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))(8):
seq(a(n), n=8..38);