A318825 Number of rooted trees with n nodes such that ten equals the maximal number of subtrees of the same size extending from the same node.

0, 1, 1, 3, 8, 22, 60, 167, 465, 1306, 3681, 10423, 29598, 84313, 240753, 689013, 1975659, 5674795, 16324964, 47028023, 135644560, 391688795, 1132214229, 3275875477, 9486452270, 27493411521, 79739873360, 231430860268, 672117013805, 1953114161607, 5678747123701

Offset: 10

Author

Alois P. Heinz, Sep 04 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 10..2139

Crossrefs

Column k=10 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))(10):
seq(a(n), n=10..40);