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 A105800 Greatest Fibonacci number that is a proper divisor of the n-th Fibonacci number; a(1) = a(2) = 1. 1
 1, 1, 1, 1, 1, 2, 1, 3, 2, 5, 1, 8, 1, 13, 5, 21, 1, 34, 1, 55, 13, 89, 1, 144, 5, 233, 34, 377, 1, 610, 1, 987, 89, 1597, 13, 2584, 1, 4181, 233, 6765, 1, 10946, 1, 17711, 610, 28657, 1, 46368, 13, 75025, 1597, 121393, 1, 196418, 89, 317811, 4181, 514229, 1, 832040, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS a(A001605(n)) = 1. LINKS Eric Weisstein's World of Mathematics, Fibonacci Number MATHEMATICA nn=70; Join[{1, 1}, With[{fibs=Fibonacci[Range[nn]]}, Table[ Max[ Intersection[ Most[Divisors[fibs[[n]]]], fibs]], {n, 3, nn}]]] (* From Harvey P. Dale, Apr 10 2012 *) CROSSREFS Cf. A000045, A076984. Sequence in context: A064989 A030067 A181363 * A105602 A111079 A165006 Adjacent sequences:  A105797 A105798 A105799 * A105801 A105802 A105803 KEYWORD nonn AUTHOR Reinhard Zumkeller, Apr 20 2005 STATUS approved

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