Search: id:A005086 Results 1-1 of 1 results found. %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 Search completed in 0.001 seconds