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A206612 Fibonacci sequence beginning 13, 6. 1
13, 6, 19, 25, 44, 69, 113, 182, 295, 477, 772, 1249, 2021, 3270, 5291, 8561, 13852, 22413, 36265, 58678, 94943, 153621, 248564, 402185, 650749, 1052934, 1703683, 2756617, 4460300, 7216917, 11677217, 18894134, 30571351, 49465485, 80036836, 129502321 (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) = 13*Fibonacci(n) - 7*Fibonacci(n-1).

G.f.: x*(13 - 7*x)/(1 - x - x^2).

(End)

MATHEMATICA

LinearRecurrence[{1, 1}, {13, 6}, 80]

PROG

(MAGMA) I:=[13, 6]; [n le 2 select I[n] else Self(n-1)+Self(n-2): n in [1..40]]; \\ Vincenzo Librandi, Feb 17 2012

(PARI) Vec((13 - 7*x)/(1 - x - x^2) + O(x^30)) \\ Andrew Howroyd, Aug 28 2018

CROSSREFS

Cf. A000032, A000045, A206610, A206611.

Sequence in context: A004478 A300504 A168210 * A220131 A268723 A300942

Adjacent sequences:  A206609 A206610 A206611 * A206613 A206614 A206615

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Feb 10 2012

STATUS

approved

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Last modified January 23 01:30 EST 2020. Contains 331166 sequences. (Running on oeis4.)