A134491 - OEIS

A134491

a(n) = Fibonacci(5*n+4).

3, 34, 377, 4181, 46368, 514229, 5702887, 63245986, 701408733, 7778742049, 86267571272, 956722026041, 10610209857723, 117669030460994, 1304969544928657, 14472334024676221, 160500643816367088

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (11,1).

FORMULA

G.f.: (3 + x)/(1 - 11*x - x^2). - R. J. Mathar, Apr 17 2011

a(n) = A000045(A016897(n)). - Michel Marcus, Nov 07 2013

E.g.f.: exp(11*x/2)*(15*cosh(5*sqrt(5)*x/2) + 7*sqrt(5)*sinh(5*sqrt(5)*x/2))/5. - Stefano Spezia, Sep 17 2025

MATHEMATICA

Table[Fibonacci[5n + 4], {n, 0, 30}]

PROG

(Magma) [Fibonacci(5*n +4): n in [0..100]]; // Vincenzo Librandi, Apr 17 2011

(PARI) a(n)=fibonacci(5*n+4) \\ Charles R Greathouse IV, Oct 16 2015

CROSSREFS

Cf. A000045, A016897, A102312, A099100, A134490.

Sequence in context: A231593 A388421 A367509 * A045727 A105713 A376137

Adjacent sequences: A134488 A134489 A134490 * A134492 A134493 A134494

KEYWORD

nonn,easy

AUTHOR

Artur Jasinski, Oct 28 2007

STATUS

approved