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

Author

Henry Bottomley, Apr 27 2000

Keywords

• base
• nonn

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

Examples

			495 = 954-459.
		

References

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

Links

• 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

Crossrefs

Cf. A055157, A099009.

Formula

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