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Search: id:A032908
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| A032908 |
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One of 4 3rd-order recurring sequences for which the first derived sequence and the Galois transformed sequence coincide. |
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+0
3
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| 2, 2, 3, 6, 14, 35, 90, 234, 611, 1598, 4182, 10947, 28658, 75026, 196419, 514230, 1346270, 3524579, 9227466, 24157818, 63245987, 165580142, 433494438, 1134903171, 2971215074, 7778742050, 20365011075, 53316291174
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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L. E. Dickson, History of the Theory of Numbers, Dover, New York, 1971
M. Elia, A Note on derived linear recurring sequences, pp. 83-92 of Proceedings Seventh Int. Conference on Fibonacci Numbers and their Applications (Austria, 1996), Applications of Fibonacci Numbers, Volume 7.
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LINKS
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INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 919
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FORMULA
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a(n) = 4*a(n-1) - 4*a(n-2)+a(n-3); g.f.: (2-6x+3x^2)/(1-4x+4x^2-x^3)
a(n) = Fibonacci(2*n-1)+1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 19 2003
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CROSSREFS
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Sequence in context: A095902 A103687 A166678 this_sequence A060631 A096100 A021451
Adjacent sequences: A032905 A032906 A032907 this_sequence A032909 A032910 A032911
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KEYWORD
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eigen,nonn
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AUTHOR
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Michele Elia (elia(AT)polito.it)
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EXTENSIONS
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More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 10 2003
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