A318804 Number of rooted trees with n nodes such that no more than ten subtrees of the same size extend from the same node.

0, 1, 1, 2, 4, 9, 20, 48, 115, 286, 719, 1842, 4765, 12484, 32968, 87798, 235346, 634752, 1720897, 4687949, 12824195, 35216118, 97039045, 268237121, 743594937, 2066803841, 5758576675, 16080698759, 44998355630, 126161517745, 354354779794, 996963790045, 2809334906744, 7928088014833, 22404525682610

Offset: 0

Author

Alois P. Heinz, Sep 03 2018

Keywords

• nonn

Comments

This differs from A318857 first at n=34.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..2136

Crossrefs

Column k=10 of A318753.

Cf. A318857.

Programs

Maple

g:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0, add(
      binomial(g((i-1)$2)+j-1, j)*g(n-i*j, i-1), j=0..min(10, n/i))))
    end:
a:= n-> g((n-1)$2):
seq(a(n), n=0..40);