A165087 a(n) = smallest number that leads to a new cycle under the base-7 Kaprekar map of A165071.

0, 51, 344, 2402, 16808, 117650, 823544, 5764802, 40353608, 40353623, 40354466, 282475250, 1977326744, 1977326763, 13841287202, 13841287211, 13841290483, 96889010408, 96889010409, 678223072850, 678223072851, 678223072995

Offset: 1

Author

Joseph Myers, Sep 04 2009

Keywords

• base
• nonn

Comments

Initial terms in base 7: 0, 102, 1001, 10001, 100001, 1000001, 10000001, 100000001, 1000000001, 1000000022.

Links

• Joseph Myers, Table of n, a(n) for n=1..13070
• Index entries for the Kaprekar map

Crossrefs

Cf. A165071, A165076, A165088, A165089.

In other bases: A164887 (base 2), A165009 (base 3), A165029 (base 4), A165048 (base 5), A165068 (base 6), A165107 (base 8), A165127 (base 9), A151964 (base 10).