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A022132 Fibonacci sequence beginning 4, 13. 1
4, 13, 17, 30, 47, 77, 124, 201, 325, 526, 851, 1377, 2228, 3605, 5833, 9438, 15271, 24709, 39980, 64689, 104669, 169358, 274027, 443385, 717412, 1160797, 1878209, 3039006, 4917215, 7956221, 12873436, 20829657, 33703093, 54532750, 88235843, 142768593 (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

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

G.f.: (4+9*x)/(1-x-x^2).

a(n) = term (1,1) in the 1x2 matrix [4,9] . [1,1; 1,0]^n. (End)

MAPLE

a:= n -> (Matrix([[4, 9]]).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=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 *)

LinearRecurrence[{1, 1}, {4, 13}, 40] (* Harvey P. Dale, Jul 04 2017 *)

CROSSREFS

Cf. A000032.

Sequence in context: A246145 A107462 A190863 * A041559 A280385 A190122

Adjacent sequences:  A022129 A022130 A022131 * A022133 A022134 A022135

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 22 19:04 EDT 2018. Contains 315270 sequences. (Running on oeis4.)