A165016 List of fixed points of the base-4 Kaprekar map A165012.

0, 30, 201, 2550, 3369, 3873, 14565, 54441, 62625, 64641, 171990, 234405, 254865, 873129, 954261, 1004193, 1036929, 1044993, 3755685, 4083345, 4165185, 11140950, 13978281, 15285909, 16075425, 16399953, 16599681, 16730625, 16762881

Offset

1,2

Comments

Initial terms in base 4: 0, 132, 3021, 213312, 310221, 330201, 3203211, 31102221, 33102201, 33302001.

Links

Joseph Myers, Table of n, a(n) for n=1..7138

Shin-Ichi Katayama, On the Kaprekar's Constant in the Zeckendorf's Representation (sic), J. Math. Tokushima Univ. 59 (2025) 1-12. See p. 2.

Index entries for the Kaprekar map

Crossrefs

Cf. A165012, A165017, A165019, A165027.

In other bases: A163205 (base 2), A164997 (base 3), A165036 (base 5), A165055 (base 6), A165075 (base 7), A165094 (base 8), A165114 (base 9), A099009 (base 10).

Sequence in context: A029545 A200548 A165030 * A209796 A209789 A280482

Adjacent sequences: A165013 A165014 A165015 * A165017 A165018 A165019

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved