Search: id:A057108
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%I A057108
%S A057108 0,0,0,2,0,0,0,2,3,0,0,1,0,0,0,4,0,3,0,0,0,0,0,1,5,0,6,0,0,0,0,6,0,0,0,
%T A057108 3,0,0,0,0,0,0,0,0,1,0,0,3,7,5,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,
%U A057108 0,3,0,0,5,0,0,0,0,1,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,7,0,5,0,0,0,0,0
%N A057108 Difference between the smallest number S(n) with S(n)! a multiple of 
               n and the largest prime factor of n [taking a(1)=0].
%D A057108 S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 284-292.
%H A057108 S. R. Finch, <a href="http://algo.inria.fr/bsolve/constant/golomb/smarand/
               smarand1.html">The Average Value of the Smarandache Function</a>
%F A057108 a(n) =A002034(n)-A006530(n)
%e A057108 a(12)=1 since 12 is a factor of 4!, 3 is the largest prime factor of 
               12 and 4-3=1
%Y A057108 Cf. A057109.
%Y A057108 Sequence in context: A071548 A143063 A054923 this_sequence A063958 A126164 
               A145007
%Y A057108 Adjacent sequences: A057105 A057106 A057107 this_sequence A057109 A057110 
               A057111
%K A057108 easy,nonn
%O A057108 1,4
%A A057108 Henry Bottomley (se16(AT)btinternet.com), Aug 08 2000
%E A057108 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Aug 22 2000

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