A055160 Numbers n with the property that 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), ordered by a.

495, 6174, 549945, 631764, 63317664, 97508421, 864197532, 554999445, 6333176664, 9753086421, 9975084201, 86431976532, 633331766664, 975330866421, 997530864201, 999750842001, 555499994445, 8643319766532

Offset

1,1

Comments

This sequence appears to differ from A099009 at the positions of two terms in it: 554999445 and 555499994445. - Alexander R. Povolotsky, May 01 2012

References

Denis Borris, Ken Duisenberg's Puzzle of the Week, April 20, 2000

Links

Table of n, a(n) for n=1..18.

Denis Borris, Ken Duisenberg's Puzzle of the Week, April 20, 2000

Yutaka Nishiyama, The weirdness of number 6174, International Journal of Pure and Applied Mathematicsm, Volume 80 No. 3 2012, 363-373. - From N. J. A. Sloane, Oct 29 2014

Formula

a(n) = A055161(n) - A055162(n).

Example

495 = 954-459.

Crossrefs

Cf. A055157, A099009.

Sequence in context: A151965 A151957 A099009 * A055157 A027808 A104478

Adjacent sequences: A055157 A055158 A055159 * A055161 A055162 A055163

Keyword

base,nonn

Author

Henry Bottomley, Apr 27 2000

Status

approved