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%I #11 Jan 08 2020 09:43:25
%S 0,0,0,0,0,0,0,0,0,8,0,8,16,24,32,40,48,56,16,8,0,8,16,24,32,40,48,24,
%T 16,8,0,8,16,24,32,40,32,24,16,8,0,8,16,24,32,40,32,24,16,8,0,8,16,24,
%U 48,40,32,24,16,8,0,8,16,56,48,40,32,24,16,8,0,8,64,56,48,40,32,24,16,8
%N a(n) = image of n under the base-9 Kaprekar map n -> (n with digits sorted into descending order) - (n with digits sorted into ascending order)
%H Indranil Ghosh, <a href="/A165110/b165110.txt">Table of n, a(n) for n = 0..59049</a> (terms 0..6561 from Joseph Myers)
%H <a href="/index/K#Kaprekar_map">Index entries for the Kaprekar map</a>
%e For n = 11, 11_10 = 12_9. So, a(11) = 21_9 - 12_9 = 19 - 11 = 8. - _Indranil Ghosh_, Feb 02 2017
%t a[n_] := With[{dd = IntegerDigits[n, 9]}, FromDigits[ReverseSort[dd], 9] - FromDigits[Sort[dd], 9]];
%t a /@ Range[0, 100] (* _Jean-François Alcover_, Jan 08 2020 *)
%Y Cf. A165111.
%Y In other bases: A164884 (base 2), A164993 (base 3), A165012 (base 4), A165032 (base 5), A165051 (base 6), A165071 (base 7), A165090 (base 8), A151949 (base 10).
%K base,nonn
%O 0,10
%A _Joseph Myers_, Sep 04 2009
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