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A065211
Six 'Reverse and Add' steps are needed to reach a palindrome.
2
79, 97, 182, 281, 380, 779, 799, 889, 977, 988, 997, 1069, 1079, 1159, 1169, 1249, 1259, 1339, 1349, 1429, 1439, 1519, 1529, 1609, 1619, 1699, 1709, 1789, 1799, 1879, 1889, 1896, 1969, 1979, 1986, 2059, 2068, 2078, 2089, 2149, 2158, 2168, 2179, 2239
OFFSET
1,1
COMMENTS
The number of steps starts at 0, so palindromes (cf. A002113) are excluded.
MATHEMATICA
palQ[n_] := Module[{idn = IntegerDigits[n]}, idn == Reverse[idn]]; pal6Q[ n_]:= Module[{c=NestList[#+FromDigits[Reverse[IntegerDigits[#]]]&, n, 6]}, palQ/@c=={False, False, False, False, False, False, True}]; Select[Range[ 2300], pal6Q] (* Harvey P. Dale, Sep 09 2012 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Klaus Brockhaus, Oct 21 2001
EXTENSIONS
OFFSET changed from 0,1 to 1,1 by Harry J. Smith, Oct 14 2009
STATUS
approved