[seqfan] G.f. for trees with degree at most 3

franktaw at netscape.net franktaw at netscape.net
Sun May 23 23:51:17 CEST 2010

I asked the author of this sequence for clarification, but got no 
response. Maybe somebody here can figure out what is going on.

For this sequence, a generating function is given:

(1-x)(2-x-x^2) - (2-x+x^2)\sqrt{1-2x-x^2} \over 3 x^3. 
I'm not sure if this is supposed to be 
but either one produces a series that includes terms with negative 
exponents; and in neither case there is any apparent relationship to 
this sequence. So what is the correct g.f.? 
Franklin T. Adams-Watters 


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