A113585 Numbers formed by arranging the digits of n in increasing order concatenated with arranging the digits in decreasing order.

11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 220, 1221, 2222, 2332, 2442, 2552, 2662, 2772, 2882, 2992, 330, 1331, 2332, 3333, 3443, 3553, 3663, 3773, 3883, 3993, 440, 1441, 2442, 3443, 4444, 4554, 4664, 4774, 4884, 4994, 550, 1551

Offset

1,1

Comments

a(n) is a palindrome if n is not == 0 (mod 10).

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

a(10) = 0110 = 110.
a(12) = 1221.
a(1232) = 12233221

Mathematica

iodo[n_]:=Module[{iod=Sort[IntegerDigits[n]]}, FromDigits[Join[iod, Reverse[iod]]]]; Array[iodo, 60] (* Harvey P. Dale, Aug 24 2022 *)

Crossrefs

Cf. A113586.

Sequence in context: A004920 A136613 A352535 * A071273 A226467 A244394

Adjacent sequences: A113582 A113583 A113584 * A113586 A113587 A113588

Keyword

base,easy,nonn

Author

Amarnath Murthy, Nov 07 2005

Extensions

More terms from Jessica Mabel (jem411(AT)psu.edu), Apr 25 2006

Status

approved