cp's OEIS Frontend

A244536 Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 7.

%I A244536 #8 Jul 02 2014 11:42:16
%S A244536 1,0,0,0,0,0,0,7,15,16,17,18,19,20,91,253,529,852,1225,1651,2133,3493,
%T A244536 6931,14095,27156,47648,77297,118031,182462,300441,527398,954712,
%U A244536 1722370,3015910,5074611,8342271,13730760,23036563,39558564,68974240,120541276
%N A244536 Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 7.
%H A244536 Alois P. Heinz, <a href="/A244536/b244536.txt">Table of n, a(n) for n = 8..1000</a>
%p A244536 b:= proc(n, t, k) option remember; `if`(n=0,
%p A244536       `if`(t in [0, k], 1, 0), `if`(t>n, 0, add(b(j-1, k$2)*
%p A244536        b(n-j, max(0, t-1), k), j=1..n)))
%p A244536     end:
%p A244536 a:= n-> b(n-1, 7$2) -b(n-1, 8$2):
%p A244536 seq(a(n), n=8..50);
%Y A244536 Column k=7 of A244530.
%Y A244536 Cf. A244461.
%K A244536 nonn
%O A244536 8,8
%A A244536 _Joerg Arndt_ and _Alois P. Heinz_, Jun 29 2014