Search: id:A055273
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%I A055273
%S A055273 1,8,23,61,160,419,1097,2872,7519,19685,51536,134923,353233,924776,
%T A055273 2421095,6338509,16594432,43444787,113739929,297775000,779585071,
%U A055273 2040980213,5343355568,13989086491,36623903905,95882625224
%N A055273 a(n)=3a(n-1)-a(n-2); a(0)=1, a(1)=8.
%D A055273 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, 
               pps. 194-196.
%H A055273 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A055273 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A055273 a(n)={8*[((3+sqrt(5))/2)^n-((3-sqrt(5))/2)^n]-[((3+sqrt(5))/2)^(n-1)-((3-sqrt(5))/
               2)^(n-1)]/sqrt(5).
%e A055273 G.f.(x)=(1+5x)/(1-3x+x^2)
%Y A055273 Cf. A055267.
%Y A055273 Sequence in context: A048467 A002765 A048770 this_sequence A059209 A099274 
               A036562
%Y A055273 Adjacent sequences: A055270 A055271 A055272 this_sequence A055274 A055275 
               A055276
%K A055273 easy,nonn
%O A055273 0,2
%A A055273 Barry E. Williams, May 28 2000

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