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

1,2

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

Table of n, a(n) for n=1..3.

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).

Sequence in context: A124596 A224522 A210263 * A236881 A190929 A055153

Adjacent sequences: A165064 A165065 A165066 * A165068 A165069 A165070

Keyword

base,nonn,bref

Author

Joseph Myers, Sep 04 2009

Status

approved