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A206422 Fibonacci sequence beginning 11, 9. 1
11, 9, 20, 29, 49, 78, 127, 205, 332, 537, 869, 1406, 2275, 3681, 5956, 9637, 15593, 25230, 40823, 66053, 106876, 172929, 279805, 452734, 732539, 1185273, 1917812, 3103085, 5020897, 8123982, 13144879, 21268861, 34413740, 55682601, 90096341, 145778942 (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) - 2*Fibonacci(n-1).

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

(End)

MATHEMATICA

LinearRecurrence[{1, 1}, {11, 9}, 60]

PROG

(MAGMA) I:=[11, 9]; [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 - 2*x)/(1 - x - x^2) + O(x^30)) \\ Andrew Howroyd, Aug 28 2018

CROSSREFS

Cf. A000045.

Sequence in context: A004500 A254716 A240757 * A316450 A196006 A196003

Adjacent sequences:  A206419 A206420 A206421 * A206423 A206424 A206425

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Feb 07 2012

STATUS

approved

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Last modified August 12 05:33 EDT 2020. Contains 336438 sequences. (Running on oeis4.)