OFFSET
1,2
COMMENTS
The Fibonacci numbers in this sequence are: 1, 2, 8, 89, 233, 46368, 14930352, ..., . (A131349) - Robert G. Wilson v, Jul 02 2007
MATHEMATICA
fibQ[n_] := (Fibonacci@ Round@ Log[ GoldenRatio, n*Sqrt@5] == n); f[lst_] := Append[lst, Last@lst + Length@Select[lst, fibQ@# &]]; Nest[f, {1}, 38] (* Robert G. Wilson v, Jul 02 2007 *)
nxt[{fibs_, a_}]:=Module[{f=Fibonacci[Range[50]], x=fibs}, If[MemberQ[f, a], x++]; {x, a+x}]; NestList[nxt, {0, 1}, 70][[All, 2]] (* Harvey P. Dale, Sep 16 2020 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Jun 04 2007
EXTENSIONS
More terms from Robert G. Wilson v, Jul 02 2007
STATUS
approved