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A022134
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Fibonacci sequence beginning 4 17.
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0
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4, 17, 21, 38, 59, 97, 156, 253, 409, 662, 1071, 1733, 2804, 4537, 7341, 11878, 19219, 31097, 50316, 81413, 131729, 213142, 344871, 558013, 902884, 1460897, 2363781, 3824678, 6188459, 10013137, 16201596
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Tanya Khovanova, Recursive Sequences
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FORMULA
| Contribution from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008: (Start)
G.f.: (4+13*x)/(1-x-x^2).
a(n) = term (1,1) in the 1x2 matrix [4,13] . [1,1; 1,0]^n. (End)
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MAPLE
| (Maple) a := n -> (Matrix([[4, 13]]).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
| a={}; b=4; c=17; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 17 2008]
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CROSSREFS
| Sequence in context: A128981 A032828 A193379 * A041529 A042033 A192197
Adjacent sequences: A022131 A022132 A022133 * A022135 A022136 A022137
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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