A165021 Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives least elements of each cycle, including fixed points.

0, 30, 126, 201, 570, 2550, 3369, 3873, 14565, 41958, 54441, 62625, 64641, 171990, 234405, 254865, 873129, 954261, 1004193, 1036929, 1044993, 2788950, 3755685, 4083345, 4165185, 11140950, 13978281, 15285909, 16075425, 16399953, 16599681

Offset

1,2

Comments

Initial terms in base 4: 0, 132, 1332, 3021, 20322, 213312, 310221, 330201, 3203211, 22033212.

Links

Joseph Myers, Table of n, a(n) for n=1..7165

Anthony Kay and Katrina Downes-Ward, Fixed Points and Cycles of the Kaprekar Transformation: 2. Even bases, arXiv:2408.12257 [math.CO], 2024. See p. 16.

Index entries for the Kaprekar map

Crossrefs

Union of A165016 and A165023. Cf. A165012, A165022, A165017, A165019, A165030, A165025.

In other bases: A163205 (base 2), A165002 (base 3), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165099 (base 8), A165119 (base 9), A164718 (base 10).

Sequence in context: A003901 A010744 A165017 * A307849 A044362 A044743

Adjacent sequences: A165018 A165019 A165020 * A165022 A165023 A165024

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved