A165013 - OEIS

A165013

a(n) = A165012(n)/3.

0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 3, 2, 1, 0, 5, 5, 10, 15, 5, 0, 5, 10, 10, 5, 5, 10, 15, 10, 10, 10, 10, 10, 10, 15, 10, 5, 5, 10, 10, 5, 0, 5, 15, 10, 5, 5, 15, 15, 15, 15, 15, 10, 10, 10, 15, 10, 5, 5, 15, 10, 5, 0, 21, 25, 46, 67, 25, 21, 42, 63, 46, 42, 46, 67, 67, 63, 67, 71, 25, 21

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OFFSET

0,8

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..8192 (terms 0..1024 from Joseph Myers)

Index entries for the Kaprekar map

MATHEMATICA

A165013[n_] := (FromDigits[ReverseSort[#], 4] - FromDigits[Sort[#], 4] & [IntegerDigits[n, 4]])/3;

Array[A165013, 100, 0] (* Paolo Xausa, Jan 24 2026 *)

CROSSREFS

Cf. A165012.

In other bases: A164884 (base 2), A164994 (base 3), A165033 (base 5), A165052 (base 6), A165072 (base 7), A165091 (base 8), A165111 (base 9), A151950 (base 10).

Sequence in context: A037898 A037836 A194522 * A351995 A055290 A125629

Adjacent sequences: A165010 A165011 A165012 * A165014 A165015 A165016

KEYWORD

base,nonn

AUTHOR

Joseph Myers, Sep 04 2009

STATUS

approved