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A022139
Fibonacci sequence beginning 5, 14.
1
5, 14, 19, 33, 52, 85, 137, 222, 359, 581, 940, 1521, 2461, 3982, 6443, 10425, 16868, 27293, 44161, 71454, 115615, 187069, 302684, 489753, 792437, 1282190, 2074627, 3356817, 5431444, 8788261, 14219705, 23007966, 37227671, 60235637, 97463308, 157698945
OFFSET
0,1
FORMULA
G.f.: (5+9x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008
a(0)=5, a(1)=14, a(n)=a(n-1)+a(n-2). - Harvey P. Dale, Apr 15 2015
a(n) = Fibonacci(n+6) - Lucas(n-2). - Greg Dresden and Tyler Zidlicky, Mar 01 2022
MATHEMATICA
Transpose[NestList[{#[[2]], #[[1]]+#[[2]]}&, {5, 14}, 30]][[1]] (* Harvey P. Dale, Feb 07 2011 *)
LinearRecurrence[{1, 1}, {5, 14}, 40](* Harvey P. Dale, Apr 15 2015 *)
CROSSREFS
Sequence in context: A071852 A275809 A227793 * A277351 A143707 A306989
KEYWORD
nonn,easy
STATUS
approved