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%I #5 Aug 01 2014 12:36:23
%S 3,23,114,474,1780,6179,20363,64441,197653,591131,1732165,4989933,
%T 14171244,39760411,110402589,303808762,829504935,2249326273,
%U 6062516975,16252409052,43361162336,115191492778,304834916107,803891596292,2113302899765,5539657831304
%N Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 7.
%H Alois P. Heinz, <a href="/A245752/b245752.txt">Table of n, a(n) for n = 25..800</a>
%p b:= proc(n, i, t, k) option remember; `if`(n=0, 1,
%p `if`(i<1, 0, add(binomial(b(i-1$2, k$2), j)*
%p b(n-i*j, i-1, t-j, k), j=0..min(t, n/i))))
%p end:
%p a:= n-> b(n-1$2, 7$2) -b(n-1$2, 6$2):
%p seq(a(n), n=25..60);
%Y Column k=7 of A244523.
%K nonn
%O 25,1
%A _Joerg Arndt_ and _Alois P. Heinz_, Jul 31 2014