%I A006492 M3751
%S A006492 1,0,5,6,21,40,93,190,396,796,1586,3108,6025,11552,21947,41346,77311,
%T A006492 143580,265013,486398,888122,1613944,2920100,5261880,9445905,16897328,
               30127665
%N A006492 Generalized Lucas numbers.
%D A006492 L. Carlitz and R. Scoville, Zero-one sequences and Fibonacci numbers, 
               Fib. Quart., 15 (1977), 246-254.
%D A006492 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A006492 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A006492 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%F A006492 G.f.: [(1-x)^2(1-2x+x^2)]/[(1-x-x^2)^4]. - Ralf Stephan, Apr 23 2004
%p A006492 A006492:=(1-2*z+2*z**2)*(z-1)**2/(z**2+z-1)**4; [S. Plouffe in his 1992 
               dissertation.]
%Y A006492 Sequence in context: A037951 A095308 A132796 this_sequence A110344 A135301 
               A030672
%Y A006492 Adjacent sequences: A006489 A006490 A006491 this_sequence A006493 A006494 
               A006495
%K A006492 nonn
%O A006492 3,3
%A A006492 N. J. A. Sloane (njas(AT)research.att.com).