%I A050677
%S A050677 1,2,2,2,3,2,2,4,5,3,2,3,3,4,6,4,7,10,4,5,4,5,4,5,6,9,9,5,7,8,3,6,5,7,
%T A050677 9,8,4,3,6,5,8,6,3,8,7,5,7,7,3,6,3,7,12,14,3,5,4,6,3,3,5,9,6,6
%N A050677 Number of prime factors of concatenation of numbers from n down to 1, 
               with multiplicity.
%C A050677 Strictly speaking a(1) = 0.
%C A050677 Smallest number not yet factored is 656463...4321.
%D A050677 M. Fleuren, Smarandache Factors and Reverse Factors, Smarandache Notions 
               Journal, 10 (No. 1-2-3, Spring 1999), 5-38.
%H A050677 P. De Geest, <a href="http://www.worldofnumbers.com/revfact.htm">Reversed 
               Smarandache Concatenated Numbers, Prime factors from n down to 1</
               a>
%H A050677 M. L. Perez et al., eds., <a href="http://www.gallup.unm.edu/~smarandache/
               ">Smarandache Notions Journal</a>
%H A050677 C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_008.htm">
               Primes by Listing</a>
%H A050677 M. Fleuren, <a href="http://www.gallup.unm.edu/~smarandache/michafleuren.htm">
               Factors and primes of Smarandache sequences</a>.
%H A050677 M. Fleuren, <a href="http://www.gallup.unm.edu/~smarandache/micha.txt">
               Smarandache Factors and Reverse factors</a>
%e A050677 21 = 3*7 so a(2) = 2; 321 = 3*107 so a(3) =2; 4321 = 29*149 so a(4) = 
               2; etc.
%Y A050677 Cf. A000422, A046460, A050679-A050682.
%Y A050677 Sequence in context: A099774 A142240 A048288 this_sequence A058013 A031356 
               A024676
%Y A050677 Adjacent sequences: A050674 A050675 A050676 this_sequence A050678 A050679 
               A050680
%K A050677 nonn,base,hard
%O A050677 1,2
%A A050677 Patrick De Geest (pdg(AT)worldofnumbers.com), Aug 15 1999.