A022143 Fibonacci sequence beginning 5, 19.

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

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