A319798 Smallest fixed points (>0) of the base-n Kaprekar map.

9, 184, 30, 8, 105, 1922263344, 21, 41520, 495, 40, 858, 3488424, 65, 30996, 2040, 96, 2907, 264925230120, 133, 2787400, 5313, 176, 6900, 237360, 225, 9742824, 10962, 280, 13485, 763713003420, 341, 26485184, 19635, 408, 23310, 107599353444576, 481, 60920080, 31980

Offset

2,1

Comments

Conjecture: If n = 3*k - 1 (>2), a(n) = A000567(k). For example, a(29) = 10 * (3*10 - 2) = 280.

Links

Table of n, a(n) for n=2..40.

Index entries for the Kaprekar map

Crossrefs

Cf. A000567, A099009, A163205, A164997, A165016, A165036, A165055, A165075, A165094, A165114, A319839.

Sequence in context: A212704 A231726 A064332 * A300598 A189803 A216409

Adjacent sequences: A319795 A319796 A319797 * A319799 A319800 A319801

Keyword

nonn,base

Author

Seiichi Manyama, Sep 28 2018

Extensions

a(19) and a(31)-a(40) from Giovanni Resta, Oct 02 2018

Status

approved