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A245755 Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 10.

%I A245755 #4 Aug 01 2014 12:36:54
%S A245755 15,147,1003,5286,24396,101768,395410,1452251,5104104,17300428,
%T A245755 56912396,182543809,573014123,1765525901,5352351017,15996845972,
%U A245755 47213204699,137795770991,398168121417,1140238386377,3238947787201,9133172049405,25582174762816,71220487524663
%N A245755 Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 10.
%H A245755 Alois P. Heinz, <a href="/A245755/b245755.txt">Table of n, a(n) for n = 42..800</a>
%p A245755 b:= proc(n, i, t, k) option remember; `if`(n=0, 1,
%p A245755       `if`(i<1, 0, add(binomial(b(i-1$2, k$2), j)*
%p A245755        b(n-i*j, i-1, t-j, k), j=0..min(t, n/i))))
%p A245755     end:
%p A245755 a:= n-> b(n-1$2, 10$2) -b(n-1$2, 9$2):
%p A245755 seq(a(n), n=42..70);
%Y A245755 Column k=10 of A244523.
%K A245755 nonn
%O A245755 42,1
%A A245755 _Joerg Arndt_ and _Alois P. Heinz_, Jul 31 2014