

A029805


Numbers k such that k^2 is palindromic in base 8.


1



0, 1, 2, 3, 6, 9, 11, 27, 65, 73, 79, 81, 83, 195, 219, 237, 366, 513, 543, 585, 697, 1094, 1539, 1755, 1875, 2910, 4097, 4161, 4225, 4477, 4617, 4681, 4727, 4891, 5267, 8698, 8730, 11841, 12291, 12483, 12675, 13065, 13851, 14673, 15021
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OFFSET

1,3


COMMENTS

The only powers of 2 in this sequence are 1 and 2.  Alonso del Arte, Feb 25 2017


LINKS

Table of n, a(n) for n=1..45.
Patrick De Geest, Palindromic numbers beyond base 10


EXAMPLE

3 is in the sequence because 3^2 = 9 = 11 in base 8, which is a palindrome.
4 is not in the sequence because 4^2 = 16 = 20 in base 8, which is not a palindrome.


MATHEMATICA

palQ[n_, b_:10] := Module[{idn = IntegerDigits[n, b]}, idn == Reverse[idn]]; Select[Range[0, 16000], palQ[#^2, 8] &] (* Harvey P. Dale, May 19 2012 *)


CROSSREFS

Cf. A000290, A002441, A007094.
Sequence in context: A018537 A018331 A032704 * A082007 A064417 A191981
Adjacent sequences: A029802 A029803 A029804 * A029806 A029807 A029808


KEYWORD

nonn,base


AUTHOR

Patrick De Geest


STATUS

approved



