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A022140 Fibonacci sequence beginning 5, 16. 1
5, 16, 21, 37, 58, 95, 153, 248, 401, 649, 1050, 1699, 2749, 4448, 7197, 11645, 18842, 30487, 49329, 79816, 129145, 208961, 338106, 547067, 885173, 1432240, 2317413, 3749653, 6067066, 9816719, 15883785, 25700504, 41584289, 67284793, 108869082, 176153875 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..35.

Tanya Khovanova, Recursive Sequences

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

FORMULA

G.f.: (5+11x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008

MAPLE

a:= n-> (<<0|1>, <1|1>>^n. <<5, 16>>)[1, 1]:

seq(a(n), n=0..50);  # Alois P. Heinz, Nov 18 2018

MATHEMATICA

a={}; b=5; c=16; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a (* Vladimir Joseph Stephan Orlovsky, Sep 17 2008 *)

LinearRecurrence[{1, 1}, {5, 16}, 40] (* Harvey P. Dale, Apr 29 2012 *)

CROSSREFS

Sequence in context: A090781 A191264 A077469 * A041855 A030691 A041107

Adjacent sequences:  A022137 A022138 A022139 * A022141 A022142 A022143

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified December 10 12:33 EST 2018. Contains 318047 sequences. (Running on oeis4.)