A165051 a(n) = image of n under the base-6 Kaprekar map n -> (n with digits sorted into descending order) - (n with digits sorted into ascending order)

0, 0, 0, 0, 0, 0, 5, 0, 5, 10, 15, 20, 10, 5, 0, 5, 10, 15, 15, 10, 5, 0, 5, 10, 20, 15, 10, 5, 0, 5, 25, 20, 15, 10, 5, 0, 35, 35, 70, 105, 140, 175, 35, 0, 35, 70, 105, 140, 70, 35, 35, 70, 105, 140, 105, 70, 70, 70, 105, 140, 140, 105, 105, 105, 105, 140, 175, 140, 140, 140

Offset

0,7

Links

Indranil Ghosh, Table of n, a(n) for n = 0..46656 (terms 0..1296 from Joseph Myers)

Index entries for the Kaprekar map

Example

For n = 10, 10_10 = 14_6. So, a(10) = 41_6 - 14_6 = 25 - 10 = 15. - Indranil Ghosh, Feb 02 2017

Mathematica

a[n_] := With[{dd = IntegerDigits[n, 6]}, FromDigits[ReverseSort[dd], 6] - FromDigits[Sort[dd], 6]];
a /@ Range[0, 100] (* Jean-François Alcover, Jan 08 2020 *)

Crossrefs

Cf. A165052.

In other bases: A164884 (base 2), A164993 (base 3), A165012 (base 4), A165032 (base 5), A165071 (base 7), A165090 (base 8), A165110 (base 9), A151949 (base 10).

Sequence in context: A154814 A341482 A055953 * A154855 A137562 A021668

Adjacent sequences: A165048 A165049 A165050 * A165052 A165053 A165054

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved