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A022131 Fibonacci sequence beginning 4, 11. 0
4, 11, 15, 26, 41, 67, 108, 175, 283, 458, 741, 1199, 1940, 3139, 5079, 8218, 13297, 21515, 34812, 56327, 91139, 147466, 238605, 386071, 624676, 1010747, 1635423, 2646170, 4281593, 6927763, 11209356, 18137119, 29346475, 47483594, 76830069, 124313663 (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

G.f.: (4+7x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

a(n) = ((10 + 9*sqrt(5))/5)*((1 + sqrt(5))/2)^n + ((10 - 9*sqrt(5))/5)*((1 - sqrt(5))/2)^n starting at n=0. - Bogart B. Strauss, Oct 27 2013

MATHEMATICA

a={}; b=4; c=11; 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.

Sequence in context: A288316 A003250 A190509 * A091391 A135105 A193587

Adjacent sequences:  A022128 A022129 A022130 * A022132 A022133 A022134

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 21 10:16 EDT 2017. Contains 290864 sequences.