A065211 Numbers which need six 'Reverse and Add' steps to reach a palindrome.

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

Author

Klaus Brockhaus, Oct 21 2001

Keywords

• nonn
• base

Comments

The number of steps starts at 0, so palindromes (cf. A002113) are excluded.

Numbers k such that A033665(k) = 6. - Andrew Howroyd, Dec 06 2024

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to Reverse and Add!

Crossrefs

Cf. A002113, A015984, A033665, A065206.

Programs

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 *)

Extensions

Offset changed from 0 to 1 by Harry J. Smith, Oct 14 2009