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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A022134 Fibonacci sequence beginning 4, 17. 0
4, 17, 21, 38, 59, 97, 156, 253, 409, 662, 1071, 1733, 2804, 4537, 7341, 11878, 19219, 31097, 50316, 81413, 131729, 213142, 344871, 558013, 902884, 1460897, 2363781, 3824678, 6188459, 10013137, 16201596 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..30.

Tanya Khovanova, Recursive Sequences

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

FORMULA

From Alois P. Heinz, Jul 31 2008: (Start)

G.f.: (4+13*x)/(1-x-x^2).

a(n) = term (1,1) in the 1x2 matrix [4,13] . [1,1; 1,0]^n. (End)

MAPLE

a:= n -> (Matrix([[4, 13]]).Matrix([[1, 1], [1, 0]])^n)[1, 1]:

seq(a(n), n=0..35);  # Alois P. Heinz, Jul 31 2008

MATHEMATICA

a={}; b=4; c=17; 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}, {4, 17}, 40] (* Harvey P. Dale, Sep 05 2015 *)

CROSSREFS

Sequence in context: A212748 A032828 A193379 * A041529 A042033 A281464

Adjacent sequences:  A022131 A022132 A022133 * A022135 A022136 A022137

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

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 August 23 06:22 EDT 2017. Contains 290958 sequences.