Search: id:A048788
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%I A048788
%S A048788 0,1,2,3,8,11,30,41,112,153,418,571,1560,2131,5822,7953,21728,29681,
%T A048788 81090,110771,302632,413403,1129438,1542841,4215120,5757961,15731042,
%U A048788 21489003,58709048,80198051,219105150,299303201,817711552,1117014753
%N A048788 a(2n+1) = a(2n) + a(2n-1), a(2n) = 2*a(2n-1) + a(2n-2).
%C A048788 Numerators of continued fraction convergests to sqrt(3) - 1. See A002530 
               for denominators. - N. J. A. Sloane (njas(AT)research.att.com), Dec 
               17 2007. Convergents are 1, 2/3, 3/4, 8/11, 11/15, 30/41, 41/56, 
               112/153, ...
%D A048788 Russell Lyons, A birds-eye view of uniform spanning trees and forests, 
               in Microsurveys in Discrete Probability, AMS, 1998.
%F A048788 G.f.: x(1+2x-x^2)/(1-4x+x^2).
%F A048788 G.f.: x(1+2x-x^2)/(1-4x^2+x^4). [From Paul Barry (pbarry(AT)wit.ie), 
               Sep 18 2009]
%Y A048788 Cf. A002530, A002531.
%Y A048788 Bisections are A001835 and A052530.
%Y A048788 Sequence in context: A042263 A153439 A119064 this_sequence A143914 A041123 
               A042045
%Y A048788 Adjacent sequences: A048785 A048786 A048787 this_sequence A048789 A048790 
               A048791
%K A048788 nonn,easy,frac
%O A048788 0,3
%A A048788 Robin Trew (trew(AT)hcs.harvard.edu).
%E A048788 Corrected denonimator of g.f. [From Paul Barry (pbarry(AT)wit.ie), Sep 
               18 2009]

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