

A164993


a(n) = image of n under the base3 Kaprekar map n > (n with digits sorted into descending order)  (n with digits sorted into ascending order)


28



0, 0, 0, 2, 0, 2, 4, 2, 0, 8, 8, 16, 8, 0, 8, 16, 8, 8, 16, 16, 16, 16, 8, 8, 16, 8, 0, 26, 32, 58, 32, 26, 52, 58, 52, 58, 32, 26, 52, 26, 0, 26, 52, 26, 32, 58, 52, 58, 52, 26, 32, 58, 32, 26, 52, 58, 64, 58, 52, 58, 64, 58, 52, 58, 52, 58, 52, 26, 32, 58, 32, 26, 64, 58, 52, 58, 32
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OFFSET

0,4


LINKS

Indranil Ghosh, Table of n, a(n) for n = 0..19683 (terms 0..2187 from Joseph Myers)
Index entries for the Kaprekar map


EXAMPLE

For n = 10, 10_10 = 101_3. So, a(10) = 110_3  11_3 = 12  4 = 8.  Indranil Ghosh, Feb 02 2017


MATHEMATICA

a[n_] := With[{dd = IntegerDigits[n, 3]}, FromDigits[ReverseSort[dd], 3]  FromDigits[Sort[dd], 3]];
a /@ Range[0, 100] (* JeanFrançois Alcover, Jan 08 2020 *)


CROSSREFS

Cf. A164994.
In other bases: A164884 (base 2), A165012 (base 4), A165032 (base 5), A165051 (base 6), A165071 (base 7), A165090 (base 8), A165110 (base 9), A151949 (base 10).
Sequence in context: A055947 A015910 A182256 * A305572 A223487 A226911
Adjacent sequences: A164990 A164991 A164992 * A164994 A164995 A164996


KEYWORD

base,nonn


AUTHOR

Joseph Myers, Sep 04 2009


STATUS

approved



