Search: id:A022133
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%I A022133
%S A022133 4,15,19,34,53,87,140,227,367,594,961,1555,2516,4071,6587,
%T A022133 10658,17245,27903,45148,73051,118199,191250,309449,500699,
%U A022133 810148,1310847,2120995,3431842,5552837,8984679,14537516
%N A022133 Fibonacci sequence beginning 4 15.
%H A022133 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A022133 Contribution from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008: 
               (Start)
%F A022133 G.f.: (4+11*x)/(1-x-x^2).
%F A022133 a(n) = term (1,1) in the 1x2 matrix [4,11] . [1,1; 1,0]^n. (End)
%p A022133 (Maple) a := n -> (Matrix([[4,11]]).Matrix([[1,1],[1,0]])^n)[1,1]; seq 
               (a(n), n=0..30); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), 
               Jul 31 2008]
%t A022133 a={};b=4;c=15;AppendTo[a,b];AppendTo[a,c];Do[b=b+c;AppendTo[a,b];c=b+c;
               AppendTo[a,c],{n,1,40,1}];a (Vladimir Orlovsky, Jul 23 2008)
%Y A022133 Sequence in context: A051956 A032826 A166732 this_sequence A100783 A055465 
               A167293
%Y A022133 Adjacent sequences: A022130 A022131 A022132 this_sequence A022134 A022135 
               A022136
%K A022133 nonn
%O A022133 0,1
%A A022133 N. J. A. Sloane (njas(AT)research.att.com).

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