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A085932
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Numbers n such that the digits sorted in ascending order + the digital sum of n is a palindrome. Or, sortdigits(n)+digit sum(n) is a palindrome.
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3
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| a(12)=142 because the digits of 142 in ascending order are 124 and the digital sum of 124=7 and 124+7=131, a palindrome.
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MATHEMATICA
| dspQ[n_]:=Module[{sidn=Sort[IntegerDigits[n]], pidn}, pidn= IntegerDigits[ FromDigits[ sidn]+ Total[ sidn]]; pidn==Reverse[pidn]]; Select[Range[ 700], dspQ] (* From Harvey P. Dale, Jul 19 2011 *)
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CROSSREFS
| Cf. A085933, A085934, A085935.
Sequence in context: A135432 A108364 A145028 * A135056 A132135 A131871
Adjacent sequences: A085929 A085930 A085931 * A085933 A085934 A085935
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KEYWORD
| base,easy,nonn
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AUTHOR
| Jason Earls and Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 14 2003
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