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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

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1, 1).

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]

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

Adjacent sequences:  A206416 A206417 A206418 * A206420 A206421 A206422

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Feb 07 2012

STATUS

approved

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Last modified February 25 14:40 EST 2021. Contains 341609 sequences. (Running on oeis4.)