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Expansion of 1/(1 - 4*x + 5*x^2 - 3*x^3).
1

%I #10 Oct 01 2023 11:37:48

%S 1,4,11,27,65,158,388,957,2362,5827,14369,35427,87344,215348,530953,

%T 1309104,3227695,7958119,19621313,48377742,119278760,294090269,

%U 725100502,1787786943,4407916069,10868031067

%N Expansion of 1/(1 - 4*x + 5*x^2 - 3*x^3).

%C Number of ordered trees with n+3 edges having on each subtree of the root exactly one node with more than one descendant. - _Emeric Deutsch_, Dec 11 2007

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4, -5, 3).

%p G:=1/(1-4*x+5*x^2-3*x^3): Gser:=series(G,x=0,30): seq(coeff(Gser,x,n), n=0.. 25); # _Emeric Deutsch_, Dec 11 2007

%K nonn

%O 0,2

%A _N. J. A. Sloane_