

A165071


a(n) = image of n under the base7 Kaprekar map n > (n with digits sorted into descending order)  (n with digits sorted into ascending order)


30



0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 12, 18, 24, 30, 12, 6, 0, 6, 12, 18, 24, 18, 12, 6, 0, 6, 12, 18, 24, 18, 12, 6, 0, 6, 12, 30, 24, 18, 12, 6, 0, 6, 36, 30, 24, 18, 12, 6, 0, 48, 48, 96, 144, 192, 240, 288, 48, 0, 48, 96, 144, 192, 240, 96, 48, 48, 96, 144, 192, 240, 144, 96, 96, 96
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OFFSET

0,8


LINKS

Indranil Ghosh, Table of n, a(n) for n = 0..16807 (terms 0..2401 from Joseph Myers)
Index entries for the Kaprekar map


EXAMPLE

For n = 11, 11_10 = 14_7. So, a(11) = 41_7  14_7 = 29  11 = 18.  Indranil Ghosh, Feb 02 2017


MATHEMATICA

a[n_] := With[{dd = IntegerDigits[n, 7]}, FromDigits[ReverseSort[dd], 7]  FromDigits[Sort[dd], 7]];
a /@ Range[0, 100] (* JeanFrançois Alcover, Jan 08 2020 *)


CROSSREFS

Cf. A165072.
In other bases: A164884 (base 2), A164993 (base 3), A165012 (base 4), A165032 (base 5), A165051 (base 6), A165090 (base 8), A165110 (base 9), A151949 (base 10).
Sequence in context: A198752 A141462 A055955 * A223033 A237444 A222918
Adjacent sequences: A165068 A165069 A165070 * A165072 A165073 A165074


KEYWORD

base,nonn


AUTHOR

Joseph Myers, Sep 04 2009


STATUS

approved



