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Search: id:A022133
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| A022133 |
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Fibonacci sequence beginning 4 15. |
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+0
2
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| 4, 15, 19, 34, 53, 87, 140, 227, 367, 594, 961, 1555, 2516, 4071, 6587, 10658, 17245, 27903, 45148, 73051, 118199, 191250, 309449, 500699, 810148, 1310847, 2120995, 3431842, 5552837, 8984679, 14537516
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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Contribution from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008: (Start)
G.f.: (4+11*x)/(1-x-x^2).
a(n) = term (1,1) in the 1x2 matrix [4,11] . [1,1; 1,0]^n. (End)
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MAPLE
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(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]
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MATHEMATICA
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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)
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CROSSREFS
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Adjacent sequences: A022130 A022131 A022132 this_sequence A022134 A022135 A022136
Sequence in context: A051956 A032826 A166732 this_sequence A100783 A055465 A054308
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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