cp's OEIS Frontend

A318801 Number of rooted trees with n nodes such that no more than seven subtrees of the same size extend from the same node.

%I A318801 #4 Sep 03 2018 22:00:17
%S A318801 0,1,1,2,4,9,20,48,115,285,717,1837,4753,12451,32878,87549,234654,
%T A318801 632813,1715444,4672539,12780498,35091807,96684475,267223388,
%U A318801 740690724,2058468449,5734614700,16011714519,44799497408,125587597723,352696619768,992168346445
%N A318801 Number of rooted trees with n nodes such that no more than seven subtrees of the same size extend from the same node.
%H A318801 Alois P. Heinz, <a href="/A318801/b318801.txt">Table of n, a(n) for n = 0..2136</a>
%p A318801 g:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0, add(
%p A318801       binomial(g((i-1)$2)+j-1, j)*g(n-i*j, i-1), j=0..min(7, n/i))))
%p A318801     end:
%p A318801 a:= n-> g((n-1)$2):
%p A318801 seq(a(n), n=0..40);
%Y A318801 Column k=7 of A318753.
%K A318801 nonn
%O A318801 0,4
%A A318801 _Alois P. Heinz_, Sep 03 2018