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A206419
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Fibonacci sequence beginning 11, 7.
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3
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11, 7, 18, 25, 43, 68, 111, 179, 290, 469, 759, 1228, 1987, 3215, 5202, 8417, 13619, 22036, 35655, 57691, 93346, 151037, 244383, 395420, 639803, 1035223, 1675026, 2710249, 4385275, 7095524, 11480799, 18576323, 30057122, 48633445, 78690567, 127324012
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OFFSET
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1,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (1, 1).
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FORMULA
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From Andrew Howroyd, Aug 28 2018: (Start)
a(n) = a(n-1) + a(n-2) for n > 2.
a(n) = 11*Fibonacci(n) - 4*Fibonacci(n-1).
G.f.: x*(11 - 4*x)/(1 - x - x^2).
(End)
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MATHEMATICA
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LinearRecurrence[{1, 1}, {11, 7}, 60]
CoefficientList[Series[x (11-4x)/(1-x-x^2), {x, 0, 40}], x] (* Harvey P. Dale, Jun 24 2021 *)
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PROG
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(MAGMA) I:=[11, 7]; [n le 2 select I[n] else Self(n-1)+Self(n-2): n in [1..50]]; // Vincenzo Librandi, Feb 18 2012
(PARI) Vec((11 - 4*x)/(1 - x - x^2) + O(x^30)) \\ Andrew Howroyd, Aug 28 2018
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CROSSREFS
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Cf. A000045.
Sequence in context: A089487 A166521 A187866 * A250032 A305447 A060954
Adjacent sequences: A206416 A206417 A206418 * A206420 A206421 A206422
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KEYWORD
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nonn
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AUTHOR
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Vladimir Joseph Stephan Orlovsky, Feb 07 2012
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STATUS
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approved
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