Search: id:A099867
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%I A099867
%S A099867 1,9,44,211,1011,4844,23209,111201,532796,2552779,12231099,58602716,
%T A099867 280782481,1345309689,6445765964,30883520131,147971834691,708975653324,
%U A099867 3396906431929,16275556506321,77980876099676,373628823992059
%N A099867 a(n) = 5a(n - 1) - a(n - 2), a(0) = 1, a(1) = 9.
%D A099867 A. F. Horadam, Pell Identities, Fib. Quart., Vol. 9, No. 3, 1971, pps. 
               245-252.
%H A099867 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A099867 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A099867 |2*a(n) + A099868(n) - A003501(n+1)| = 20*A004254(n)
%F A099867 G.f.: (1+4x)/(1-5x+x^2). a(n) = A004254(n+1)+4*A004254(n). [From R. J. 
               Mathar (mathar(AT)strw.leidenuniv.nl), Sep 11 2008]
%t A099867 a[0] = 1; a[1] = 9; a[n_] := a[n] = 5a[n - 1] - a[n - 2]; Table[ a[n], 
               {n, 0, 21}] (from Robert G. Wilson v Dec 14 2004)
%o A099867 Floretion Algebra Multiplication Program, FAMP
%Y A099867 Cf. A099868, A003501, A004254.
%Y A099867 Sequence in context: A084903 A034558 A144109 this_sequence A104470 A084016 
               A125679
%Y A099867 Adjacent sequences: A099864 A099865 A099866 this_sequence A099868 A099869 
               A099870
%K A099867 easy,nonn
%O A099867 0,2
%A A099867 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Oct 28 2004
%E A099867 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 14 2004

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