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%I #5 Jul 02 2014 14:37:06
%S 1,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,7,12,16,21,25,30,34,39,43,
%T 52,65,88,121,165,219,285,360,447,544,661,805,998,1256,1613,2085,2709,
%U 3500,4496,5709,7201,9016,11277,14108,17738,22410,28484,36330
%N Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 10.
%H Alois P. Heinz, <a href="/A244464/b244464.txt">Table of n, a(n) for n = 11..900</a>
%p b:= proc(n, i, t, k) option remember; `if`(n=0, `if`(t in [0, k],
%p 1, 0), `if`(i<1 or t>n, 0, add(binomial(b((i-1)$2, k$2)+j-1, j)*
%p b(n-i*j, i-1, max(0,t-j), k), j=0..n/i)))
%p end:
%p a:= n-> b(n-1$2, 10$2) -b(n-1$2, 11$2):
%p seq(a(n), n=11..80);
%Y Column k=10 of A244454.
%Y Cf. A244539.
%K nonn
%O 11,12
%A _Joerg Arndt_ and _Alois P. Heinz_, Jun 29 2014
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