Search: id:A090061
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%I A090061
%S A090061 571428,867132,874125,923076,5179428,5714028,5714280,5714820,5719428,
%T A090061 5971428,8524710,8571042,8671320,8679132,8741250,8749125,8914752,
%U A090061 8957142,9230760,9239076,37451268,41957028,42195708,42713568,42915780
%N A090061 Numbers n divisible by exactly two nontrivial permutations (rearrangements) 
               of the digits of n, excluding all permutations that result in digit 
               loss.
%C A090061 Trivial permutations are identified as those where the permutation = 
               n itself. Digit loss occurs when a permutation has 0 in the most 
               significant position, which drops off, leaving a number with fewer 
               digits. For example, when n is 3105, the permutation 0315 is excluded 
               because 315 has fewer digits than 3105.
%C A090061 In the first million values of n, there is only one term that is divisible 
               by three lossless nontrivial permutations. That term is 857142 which 
               is divisible by 142857, 285714 and 428571. Note that 857142 is equal 
               to floor((6/7)*10^6).
%H A090061 C. Seggelin, <a href="http://www.plastereddragon.com/maths/asortdiv.htm">
               Numbers Divisible by Digit Permutations</a>.
%e A090061 a(4)=923076 because 923076 is divisible by both 230769 and 307692, two 
               nontrivial permutations of 923076 with the same number of digits.
%Y A090061 Cf. A090056, A090057.
%Y A090061 Sequence in context: A156412 A068724 A121169 this_sequence A146947 A119402 
               A050518
%Y A090061 Adjacent sequences: A090058 A090059 A090060 this_sequence A090062 A090063 
               A090064
%K A090061 nonn,base
%O A090061 1,1
%A A090061 Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003
%E A090061 a(5)-a(25) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 16 
               2009

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