A022122 Fibonacci sequence beginning 3, 10.

3, 10, 13, 23, 36, 59, 95, 154, 249, 403, 652, 1055, 1707, 2762, 4469, 7231, 11700, 18931, 30631, 49562, 80193, 129755, 209948, 339703, 549651, 889354, 1439005, 2328359, 3767364, 6095723, 9863087, 15958810, 25821897, 41780707, 67602604, 109383311, 176985915

Offset

0,1

Links

Table of n, a(n) for n=0..36.

Tanya Khovanova, Recursive Sequences

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

Formula

G.f.: (3+7x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

From Wajdi Maaloul, Jun 09 2022: (Start)

a(n) = 3*Lucas(n+1) + Fibonacci(n).

a(n) = 3*Fibonacci(n+1) + 7*Fibonacci(n).

a(n) = a(n-1) + a(n-2). (End)

Mathematica

a={}; b=3; c=10; 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. A000032, A000045.

Sequence in context: A229205 A229483 A235089 * A042479 A042897 A041169

Adjacent sequences: A022119 A022120 A022121 * A022123 A022124 A022125

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved