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

Author

Amarnath Murthy, Nov 07 2005

Keywords

• base
• easy
• nonn

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A113586.

Programs

Mathematica

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

Extensions

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