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A206419 Fibonacci sequence beginning 11, 7. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
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)
MATHEMATICA
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 *)
PROG
(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
CROSSREFS
Cf. A000045.
Sequence in context: A089487 A166521 A187866 * A250032 A305447 A060954
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified July 23 04:43 EDT 2024. Contains 374544 sequences. (Running on oeis4.)