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A022143 Fibonacci sequence beginning 5, 19. 0
5, 19, 24, 43, 67, 110, 177, 287, 464, 751, 1215, 1966, 3181, 5147, 8328, 13475, 21803, 35278, 57081, 92359, 149440, 241799, 391239, 633038, 1024277, 1657315, 2681592, 4338907, 7020499, 11359406 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..29.

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.: (5+14*x)/(1-x-x^2).

a(n) = term (1,1) in the 1x2 matrix [5,14] . [1,1; 1,0]^n. (End)

MAPLE

a:= n -> (Matrix([[5, 14]]).Matrix([[1, 1], [1, 0]])^n)[1, 1]:

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

MATHEMATICA

a={}; b=5; c=19; 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 *)

CROSSREFS

Sequence in context: A167766 A106957 A236167 * A004623 A018475 A119238

Adjacent sequences:  A022140 A022141 A022142 * A022144 A022145 A022146

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 25 00:46 EDT 2017. Contains 285346 sequences.