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A022131
Fibonacci sequence beginning 4, 11.
1
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
OFFSET
0,1
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 *)
LinearRecurrence[{1, 1}, {4, 11}, 40] (* Harvey P. Dale, May 08 2018 *)
CROSSREFS
Cf. A000032.
Sequence in context: A003250 A320494 A190509 * A091391 A135105 A330338
KEYWORD
nonn,easy
STATUS
approved