

A165032


a(n) = image of n under the base5 Kaprekar map n > (n with digits sorted into descending order)  (n with digits sorted into ascending order)


30



0, 0, 0, 0, 0, 4, 0, 4, 8, 12, 8, 4, 0, 4, 8, 12, 8, 4, 0, 4, 16, 12, 8, 4, 0, 24, 24, 48, 72, 96, 24, 0, 24, 48, 72, 48, 24, 24, 48, 72, 72, 48, 48, 48, 72, 96, 72, 72, 72, 72, 48, 48, 48, 72, 96, 48, 24, 24, 48, 72, 48, 24, 0, 24, 48, 72, 48, 24, 24, 48, 96, 72, 48, 48, 48, 72, 72, 72
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OFFSET

0,6


LINKS

Indranil Ghosh, Table of n, a(n) for n = 0..15625 (terms 0..3125 from Joseph Myers)
Index entries for the Kaprekar map


EXAMPLE

For n = 10, 10_10 = 20_5. So, a(10) = 20_5  2_5 = 10  2 = 8.  Indranil Ghosh, Feb 02 2017


MATHEMATICA

a[n_] := With[{dd = IntegerDigits[n, 5]}, FromDigits[ReverseSort[dd], 5]  FromDigits[Sort[dd], 5]];
a /@ Range[0, 100] (* JeanFrançois Alcover, Jan 08 2020 *)


CROSSREFS

Cf. A165033.
In other bases: A164884 (base 2), A164993 (base 3), A165012 (base 4), A165051 (base 6), A165071 (base 7), A165090 (base 8), A165110 (base 9), A151949 (base 10).
Sequence in context: A190103 A176714 A055951 * A088374 A156732 A200341
Adjacent sequences: A165029 A165030 A165031 * A165033 A165034 A165035


KEYWORD

base,nonn


AUTHOR

Joseph Myers, Sep 04 2009


STATUS

approved



