A085932 Numbers k such that (digits of k sorted in ascending order) + (digital sum of k) is a palindrome.

1, 2, 3, 4, 10, 20, 30, 40, 100, 124, 129, 142, 148, 167, 176, 184, 192, 200, 214, 219, 224, 229, 241, 242, 248, 267, 276, 284, 291, 292, 300, 348, 367, 376, 384, 400, 412, 418, 421, 422, 428, 438, 448, 467, 476, 481, 482, 483, 484, 567, 576, 617, 627, 637

Offset

1,2

Comments

Essentially all terms can be generated by going over A009994. By permuting digits and including any number of 0's in any term that is in A009994 any term in this sequence can be found. For example, from 124 we find that 412, 1402, 200004001 are terms. - David A. Corneth, Apr 20 2024

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

Example

142 is a term because the digits of 142 in ascending order are 124, the digital sum of 124 is 7, and 124 + 7 = 131, a palindrome.

Mathematica

dspQ[n_]:=Module[{sidn=Sort[IntegerDigits[n]], pidn}, pidn= IntegerDigits[ FromDigits[ sidn]+ Total[ sidn]]; pidn==Reverse[pidn]]; Select[Range[ 700], dspQ] (* Harvey P. Dale, Jul 19 2011 *)

Crossrefs

Cf. A009994, A085933, A085934, A085935.

Sequence in context: A145028 A306107 A229545 * A214283 A135056 A132135

Adjacent sequences: A085929 A085930 A085931 * A085933 A085934 A085935

Keyword

nonn,easy,base

Author

Jason Earls and Amarnath Murthy, Jul 14 2003

Status

approved