login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A022116 Fibonacci sequence beginning 2, 13. 3
2, 13, 15, 28, 43, 71, 114, 185, 299, 484, 783, 1267, 2050, 3317, 5367, 8684, 14051, 22735, 36786, 59521, 96307, 155828, 252135, 407963, 660098, 1068061, 1728159, 2796220, 4524379, 7320599, 11844978, 19165577, 31010555, 50176132, 81186687, 131362819 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Ivan Panchenko, 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.: (2+11*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

MATHEMATICA

a={}; b=2; c=13; 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 *)

CoefficientList[Series[(2 + 11 x)/(1 - x - x^2), {x, 0, 40}], x] (* Wesley Ivan Hurt, Jun 15 2014 *)

LinearRecurrence[{1, 1}, {2, 13}, 50] (* Harvey P. Dale, Jun 20 2017 *)

CROSSREFS

Cf. A000045.

Sequence in context: A032932 A089019 A179164 * A041201 A042155 A042253

Adjacent sequences:  A022113 A022114 A022115 * A022117 A022118 A022119

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 14 1998

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 19 01:42 EST 2017. Contains 294912 sequences.