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Search: id:A022143
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| A022143 |
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Fibonacci sequence beginning 5 19. |
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+0
1
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| 5, 19, 24, 43, 67, 110, 177, 287, 464, 751, 1215, 1966, 3181, 5147, 8328, 13475, 21803, 35278, 57081, 92359, 149440, 241799, 391239, 633038, 1024277, 1657315, 2681592, 4338907, 7020499, 11359406
(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.: (5+14*x)/(1-x-x^2).
a(n) = term (1,1) in the 1x2 matrix [5,14] . [1,1; 1,0]^n. (End)
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MAPLE
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(Maple) a := n -> (Matrix([[5, 14]]).Matrix([[1, 1], [1, 0]])^n)[1, 1]; seq (a(n), n=0..29); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008]
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MATHEMATICA
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a={}; b=5; c=19; 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
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Sequence in context: A062340 A167766 A106957 this_sequence A004623 A018475 A119238
Adjacent sequences: A022140 A022141 A022142 this_sequence A022144 A022145 A022146
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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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