%I A160757
%S A160757 1,1,5058,262213938,18124577012898,187952389930860,1409394295257361938,
               116903055445824294157698,10100618828005365858877129458,81435914480042681825934186407384633298,
               7505278652741640947693896415563573183203138,700346071081054203480884565881868806176873272498
%N A160757 Averages of the Fibonacci numbers which take integer values.
%C A160757 The numbers n such that F(1)+F(2)+...+F(n)=F(n+2)-1 is divisible by n 
               are given in A111035. [From Max Alekseyev (maxale(AT)gmail.com), 
               Jun 04 2009]
%F A160757 1/n*Sum {j=1..n} Fibonacci_j is an integer.
%F A160757 a(n) = (A000045(A111035(n)+2)-1) / A111035(n) = A000071(A111035(n)+2) 
               / A111035(n) [From Max Alekseyev (maxale(AT)gmail.com), Jun 04 2009]
%t A160757 lst = {}; Do[a = Sum[ Fibonacci@ j, {j, n}]/n; If[ IntegerQ@ a, AppendTo[lst, 
               a]], {n, 250}]; lst
%Y A160757 Cf. A050248, integer average of n primes for some n, A000045.
%Y A160757 Sequence in context: A031569 A031749 A155145 this_sequence A046169 A058908 
               A116887
%Y A160757 Adjacent sequences: A160754 A160755 A160756 this_sequence A160758 A160759 
               A160760
%K A160757 easy,nonn
%O A160757 1,3
%A A160757 Daniel Tisdale (daniel6874(AT)gmail.com), May 25 2009
%E A160757 Corrected and extended by Max Alekseyev (maxale(AT)gmail.com) and Robert 
               G. Wilson v (rgwv(AT)rgwv.com), Jun 04 2009