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A022136 Fibonacci sequence beginning 5, 11. 6
5, 11, 16, 27, 43, 70, 113, 183, 296, 479, 775, 1254, 2029, 3283, 5312, 8595, 13907, 22502, 36409, 58911, 95320, 154231, 249551, 403782, 653333, 1057115, 1710448, 2767563, 4478011, 7245574, 11723585, 18969159, 30692744, 49661903, 80354647, 130016550 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences

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

FORMULA

G.f.: (5+6*x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = 2*Lucas(n-1) + 7*Fibonacci(n+1). - Lechoslaw Ratajczak, May 01 2017

MATHEMATICA

a={}; b=5; c=11; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 1, 40, 1}]; a (* Vladimir Joseph Stephan Orlovsky, Jul 23 2008 *)

Transpose[NestList[{Last[#], Total[#]}&, {5, 11}, 40]][[1]]  (* Harvey P. Dale, Apr 04 2011 *)

LinearRecurrence[{1, 1}, {5, 11}, 40] (* Vincenzo Librandi, May 03 2017 *)

CROSSREFS

Cf. A000032, A000045.

Sequence in context: A272666 A190323 A035108 * A042385 A041046 A041117

Adjacent sequences:  A022133 A022134 A022135 * A022137 A022138 A022139

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 23 06:42 EDT 2017. Contains 286909 sequences.