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Number of trees on n nodes with forbidden limbs.
0

%I #13 Feb 27 2016 17:57:32

%S 0,1,1,1,5,15,50,180,676,2666,10831,45263,193097,839305,3702793,

%T 16552491,74829186,341652547,1573557441,7303953109,34139363401,

%U 160575404720,759577584604,3611720900930,17254901764792,82793934434748,398862862215977,1928661772504001,9357906461877107,45549820100444687

%N Number of trees on n nodes with forbidden limbs.

%H T. Lu, <a href="http://dx.doi.org/10.1016/0012-365X(95)00041-T">The enumeration of trees with and without given limbs</a>, Discr. Math., 154 (1996), 153-165, Example 4.

%H <a href="/index/Tra#trees">Index entries for sequences related to trees</a>

%F G.f. g014273(x)-g014273(x)^2, where g014273 is the o.g.f. of A014273. - _R. J. Mathar_, Feb 27 2016

%K nonn

%O 0,5

%A _N. J. A. Sloane_.