A022135 Fibonacci sequence beginning 4, 19.

4, 19, 23, 42, 65, 107, 172, 279, 451, 730, 1181, 1911, 3092, 5003, 8095, 13098, 21193, 34291, 55484, 89775, 145259, 235034, 380293, 615327, 995620, 1610947, 2606567, 4217514, 6824081, 11041595, 17865676, 28907271, 46772947, 75680218, 122453165, 198133383

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

G.f.: (4+15*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

Maple

a:= n-> (<<0|1>, <1|1>>^n. <<4, 19>>)[1, 1]:
seq(a(n), n=0..50);  # Alois P. Heinz, Nov 18 2018

Mathematica

a={}; b=4; 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

Cf. A000045.

Sequence in context: A072178 A116980 A296602 * A192193 A028564 A282506

Adjacent sequences: A022132 A022133 A022134 * A022136 A022137 A022138

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved