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A022140

Fibonacci sequence beginning 5, 16.

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

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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

URL: https://oeis.org/A022140

⇱ A022140 - OEIS