

A113585


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


4



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
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OFFSET

1,1


COMMENTS

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


LINKS



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



KEYWORD

base,easy,nonn


AUTHOR



EXTENSIONS

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


STATUS

approved



