A318799 Number of rooted trees with n nodes such that no more than five subtrees of the same size extend from the same node.

0, 1, 1, 2, 4, 9, 20, 47, 113, 281, 706, 1807, 4671, 12223, 32245, 85777, 229670, 618732, 1675523, 4558995, 12456746, 34166520, 94034681, 259621349, 718846409, 1995609079, 5553497132, 15489246752, 43290735944, 121226413303, 340079037154, 955633681302

Offset: 0

Author

Alois P. Heinz, Sep 03 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..2138

Crossrefs

Column k=5 of A318753.

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(5, n/i))))
    end:
a:= n-> g((n-1)$2):
seq(a(n), n=0..40);