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A206420 Fibonacci sequence beginning 11, 8. 2
11, 8, 19, 27, 46, 73, 119, 192, 311, 503, 814, 1317, 2131, 3448, 5579, 9027, 14606, 23633, 38239, 61872, 100111, 161983, 262094, 424077, 686171, 1110248, 1796419, 2906667, 4703086, 7609753, 12312839, 19922592, 32235431, 52158023, 84393454, 136551477 (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) - 3*Fibonacci(n-1).

G.f.: x*(11 - 3*x)/(1 - x - x^2).

(End)

MATHEMATICA

LinearRecurrence[{1, 1}, {11, 8}, 60]

PROG

(MAGMA) I:=[11, 8]; [n le 2 select I[n] else Self(n-1)+ Self(n-2): n in [1..40]]; \\ Vincenzo Librandi, Feb 18 2012

(PARI) Vec((11 - 3*x)/(1 - x - x^2) + O(x^30)) \\ Andrew Howroyd, Aug 28 2018

CROSSREFS

Cf. A000045.

Sequence in context: A306494 A068974 A244447 * A304699 A133236 A038322

Adjacent sequences:  A206417 A206418 A206419 * A206421 A206422 A206423

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Feb 07 2012

STATUS

approved

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Last modified April 26 11:46 EDT 2019. Contains 322472 sequences. (Running on oeis4.)