%I A065034
%S A065034 4,8,19,48,124,323,844,2208,5779,15128,39604,103683,271444,710648,
%T A065034 1860499,4870848,12752044,33385283,87403804,228826128,599074579,
%U A065034 1568397608,4106118244,10749957123,28143753124,73681302248,192900153619
%N A065034 Lucas(2n) + 1.
%H A065034 Harry J. Smith, <a href="b065034.txt">Table of n, a(n) for n=1,...,200</
               a>
%F A065034 F(2n+1)+F(2n-1)+1.
%F A065034 a(n)=4*a(n-1)-4*a(n-2)+a(n-3). G.f.: -x*(3*x-2)*(x-2)/((x-1)*(x^2-3*x+1)). 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 18 2009]
%o A065034 (PARI) { for (n=1, 200, a=fibonacci(2*n + 1) + fibonacci(2*n - 1) + 1; 
               write("b065034.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Oct 03 2009]
%Y A065034 Cf. A000045, A005592.
%Y A065034 Cf. A002878 (first differences). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jul 18 2009]
%Y A065034 Sequence in context: A129362 A083579 A104626 this_sequence A006580 A061814 
               A087254
%Y A065034 Adjacent sequences: A065031 A065032 A065033 this_sequence A065035 A065036 
               A065037
%K A065034 nonn
%O A065034 1,1
%A A065034 N. J. A. Sloane (njas(AT)research.att.com), Nov 04 2001