A206641 Fibonacci sequence beginning 14, 9.

14, 9, 23, 32, 55, 87, 142, 229, 371, 600, 971, 1571, 2542, 4113, 6655, 10768, 17423, 28191, 45614, 73805, 119419, 193224, 312643, 505867, 818510, 1324377, 2142887, 3467264, 5610151, 9077415, 14687566, 23764981, 38452547, 62217528, 100670075, 162887603

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

a(n) = 14*A000045(n) - 5*A000045(n-2). - R. J. Mathar, Feb 18 2012

From Andrew Howroyd, Aug 28 2018: (Start)

a(n) = a(n-1) + a(n-2) for n > 2.

a(n) = 14*Fibonacci(n) - 5*Fibonacci(n-1).

G.f.: x*(14 - 5*x)/(1 - x - x^2). (End)

Mathematica

LinearRecurrence[{1, 1}, {14, 9}, 80]

Prog

(Magma) I:=[14, 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((14 - 5*x)/(1 - x - x^2) + O(x^30)) \\ Andrew Howroyd, Aug 28 2018

Crossrefs

Cf. A000045, A206564, A206605.

Sequence in context: A010237 A035418 A070602 * A266014 A086050 A128486

Adjacent sequences: A206638 A206639 A206640 * A206642 A206643 A206644

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 16 2012

Status

approved