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%I A005086
%S A005086 1,2,2,2,2,3,1,3,2,3,1,3,2,2,3,3,1,3,1,3,3,2,1,4,2,3,2,2,1,4,1,3,2,3,2,
%T A005086 3,1,2,3,4,1,4,1,2,3,2,1,4,1,3,2,3,1,3,3,3,2,2,1,4,1,2,3,3,3,3,1,3,2,3,
%U A005086 1,4,1,2,3,2,1,4,1,4,2,2,1,4,2,2,2,3,2,4,2,2,2,2,2,4,1,2,2,3,1,4,1,4,4
%N A005086 Number of Fibonacci numbers 1,2,3,5,... dividing n.
%C A005086 a(n) <= A072649(n). - Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 10 2006
%C A005086 First occurrence of k is A000142 = Factorial numbers. - Robert G. Wilson 
               v (rgwv(AT)rgwv.com), Dec 10 2006
%C A005086 Indices of records are in A129655. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Nov 02 2007
%F A005086 Equals A051731 * A010056 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 
               06 2007
%p A005086 with(combinat): for n from 1 to 200 do printf(`%d,`,sum(floor(n/fibonacci(k))-floor((n-1)/
               fibonacci(k)), k=2..15)) od:
%t A005086 f[n_] := Block[{k = 1}, While[Fibonacci[k] <= n, k++ ]; Count[ Mod[n, 
               Array[ Fibonacci, k - 1]], 0] - 1]; Array[f, 105] (* Robert G. Wilson 
               v *)
%Y A005086 Cf. A038663.
%Y A005086 Cf. A051731, A010056.
%Y A005086 Sequence in context: A090872 A063473 A096859 this_sequence A157372 A020649 
               A067131
%Y A005086 Adjacent sequences: A005083 A005084 A005085 this_sequence A005087 A005088 
               A005089
%K A005086 nonn
%O A005086 1,2
%A A005086 N. J. A. Sloane (njas(AT)research.att.com).
%E A005086 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 19 2001

    
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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.


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