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A022140
Fibonacci sequence beginning 5, 16.
1
5, 16, 21, 37, 58, 95, 153, 248, 401, 649, 1050, 1699, 2749, 4448, 7197, 11645, 18842, 30487, 49329, 79816, 129145, 208961, 338106, 547067, 885173, 1432240, 2317413, 3749653, 6067066, 9816719, 15883785, 25700504, 41584289, 67284793, 108869082, 176153875
OFFSET
0,1
FORMULA
G.f.: (5+11x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008
MAPLE
a:= n-> (<<0|1>, <1|1>>^n. <<5, 16>>)[1, 1]:
seq(a(n), n=0..50); # Alois P. Heinz, Nov 18 2018
MATHEMATICA
a={}; b=5; c=16; 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}, {5, 16}, 40] (* Harvey P. Dale, Apr 29 2012 *)
CROSSREFS
Sequence in context: A090781 A191264 A077469 * A041855 A030691 A041107
KEYWORD
nonn
STATUS
approved