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A134492 a(n) = Fibonacci(6n). 13
0, 8, 144, 2584, 46368, 832040, 14930352, 267914296, 4807526976, 86267571272, 1548008755920, 27777890035288, 498454011879264, 8944394323791464, 160500643816367088, 2880067194370816120, 51680708854858323072, 927372692193078999176, 16641027750620563662096 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

All terms are divisible by 8. - Alonso del Arte, Jul 27 2013

LINKS

Colin Barker, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (18,-1).

FORMULA

a(n) = 18*a(n-1) - a(n-2) = 8*A049660(n). G.f.: 8*x/(1-18*x+x^2). - R. J. Mathar, Feb 16 2010

a(n) = A000045(A008588(n)). - Michel Marcus, Nov 08 2013

a(n) = ((-1+(9+4*sqrt(5))^(2*n)))/(sqrt(5)*(9+4*sqrt(5))^n). - Colin Barker, Jan 24 2016

MATHEMATICA

Table[Fibonacci[6n], {n, 0, 30}]

LinearRecurrence[{18, -1}, {0, 8}, 30] (* Harvey P. Dale, Aug 15 2017 *)

PROG

(MuPAD) numlib::fibonacci(6*n) $ n = 0..25; // Zerinvary Lajos, May 09 2008

(Sage) [fibonacci(6*n) for n in xrange(0, 17)] # Zerinvary Lajos, May 15 2009]

(MAGMA) [Fibonacci(6*n): n in [0..100]]; // Vincenzo Librandi, Apr 17 2011

(PARI) a(n)=fibonacci(6*n) \\ Charles R Greathouse IV, Sep 16 2015

(PARI) concat(0, Vec(8*x/(1-18*x+x^2) + O(x^20))) \\ Colin Barker, Jan 24 2016

CROSSREFS

Cf. A000045, A079343, A134493, A134494, A134495, A103134, A134497, A134498, A049660.

Sequence in context: A212703 A065409 A061899 * A067421 A275867 A124059

Adjacent sequences:  A134489 A134490 A134491 * A134493 A134494 A134495

KEYWORD

nonn,easy

AUTHOR

Artur Jasinski, Oct 28 2007

EXTENSIONS

Offset corrected by R. J. Mathar, Feb 16 2010

STATUS

approved

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Last modified October 22 01:42 EDT 2018. Contains 316431 sequences. (Running on oeis4.)