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A022352
Fibonacci sequence beginning 0, 18.
3
0, 18, 18, 36, 54, 90, 144, 234, 378, 612, 990, 1602, 2592, 4194, 6786, 10980, 17766, 28746, 46512, 75258, 121770, 197028, 318798, 515826, 834624, 1350450, 2185074, 3535524, 5720598, 9256122, 14976720
OFFSET
0,2
FORMULA
G.f.: 18*x/(1-x-x^2). - Philippe Deléham, Nov 20 2008
a(n) = 9*(Lucas(n) - Fibonacci(n)). - Harvey P. Dale, Oct 09 2013
MATHEMATICA
a={}; b=0; c=18; 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 *)
LinearRecurrence[{1, 1}, {0, 18}, 40] (* or *) Table[9(LucasL[n]- Fibonacci[n]), {n, 40}] (* Harvey P. Dale, Oct 09 2013 *)
PROG
(PARI) for(n=0, 50, print1(18*fibonacci(n), ", ")) \\ G. C. Greubel, Aug 26 2017
CROSSREFS
Cf. A258160.
Cf. sequences with formula Fibonacci(n+k)+Fibonacci(n-k) listed in A280154.
Sequence in context: A158910 A243097 A040307 * A211411 A298378 A299245
KEYWORD
nonn,easy
STATUS
approved