A151955 a(1) = 102; thereafter a(n) = (a(n-1) with digits sorted into descending order) - (a(n-1) with digits sorted into ascending order) (see the Kaprekar map, A151949).

102, 198, 792, 693, 594, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495

Offset

1,1

Comments

102 is the smallest starting value which does not converge to 0.

Converges to the fixed point 495. For the list of fixed points see A099009.

Links

Table of n, a(n) for n=1..48.

Index entries for the Kaprekar map

Crossrefs

Cf. A099009, A151946, A151949, A151947, A151957.

Sequence in context: A006316 A242068 A053326 * A244387 A044334 A044715

Adjacent sequences: A151952 A151953 A151954 * A151956 A151957 A151958

Keyword

nonn,base

Author

Harvey P. Dale. Aug 18 2009

Status

approved