login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A022117 Fibonacci sequence beginning 2, 15. 3

%I #22 Oct 01 2021 18:35:01

%S 2,15,17,32,49,81,130,211,341,552,893,1445,2338,3783,6121,9904,16025,

%T 25929,41954,67883,109837,177720,287557,465277,752834,1218111,1970945,

%U 3189056,5160001,8349057,13509058,21858115,35367173,57225288,92592461,149817749

%N Fibonacci sequence beginning 2, 15.

%H Ivan Panchenko, <a href="/A022117/b022117.txt">Table of n, a(n) for n = 0..1000</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1).

%F G.f.: (2+13*x)/(1-x-x^2). - _Philippe Deléham_, Nov 19 2008

%F a(n) = a(n-1) + a(n-2). - _Wesley Ivan Hurt_, Oct 01 2021

%t a={};b=2;c=15;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 *)

%t Transpose[NestList[{#[[2]],#[[1]]+#[[2]]}&,{2,15},40]][[1]] (* _Harvey P. Dale_, Dec 16 2010 *)

%t CoefficientList[Series[(2 + 13 x)/(1 - x - x^2), {x, 0, 40}], x] (* _Wesley Ivan Hurt_, Jun 15 2014 *)

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_, Jun 14 1998

%E More terms from _Wesley Ivan Hurt_, Jun 15 2014

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)