A055157 n has distinct digits and n=a-b where a has the digits of n in descending order and b has the digits of n in ascending order (perhaps with leading zeros).

495, 6174, 97508421, 864197532, 9753086421

Offset

0,1

Links

Table of n, a(n) for n=0..4.

Dennis Borris, Identity by Ordered Subtraction, Ken Duisenberg's Puzzle of the Week, April 20, 2000.

Formula

a(n) = A055158(n) - A055159(n).

Example

495 = 954-459.

Crossrefs

Cf. A055158, A055159, A055160.

Sequence in context: A151957 A099009 A055160 * A027808 A104478 A133352

Adjacent sequences: A055154 A055155 A055156 * A055158 A055159 A055160

Keyword

nonn,base,fini,full

Author

Henry Bottomley, Apr 27 2000

Status

approved