A165067 Consider the base-6 Kaprekar map x->K(x) described in A165051. Sequence gives the smallest number that belongs to a cycle of length n under repeated iteration of this map, or -1 if there is no cycle of length n.

0, 4305, 16840

Offset: 1

Author

Joseph Myers, Sep 04 2009

Keywords

• base
• nonn
• bref

Comments

Known values (to 100 base-6 digits):

a(1) = 0 (base 10) = 0 (base 6)

a(2) = 4305 (base 10) = 31533 (base 6)

a(3) = 16840 (base 10) = 205544 (base 6)

a(6) = 430 (base 10) = 1554 (base 6)

a(7) = 895275 (base 10) = 31104443 (base 6)

Links

• Index entries for the Kaprekar map

Crossrefs

Cf. A165051, A165055, A165056, A165058, A165060, A165062.

In other bases: A153881 (base 2), A165008 (base 3), A165028 (base 4), A165047 (base 5), A165086 (base 7), A165106 (base 8), A165126 (base 9), A151959 (base 10).