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Numbers n such that n^3 is palindromic in base 12.
1

%I #14 Aug 11 2024 14:39:09

%S 0,1,2,13,145,157,1729,20737,20881,22477,248833,250705,269581,2985985,

%T 2987713,3234829,35831809,35854273,36080785,38817805,429981697,

%U 430002433,430232257,465813517,5159780353,5160049921,5195612305

%N Numbers n such that n^3 is palindromic in base 12.

%H Patrick De Geest, <a href="https://www.worldofnumbers.com/nobase10pg4.htm">World!Of Numbers</a>, Palindromic cubes in bases 2 to 17.

%t For[i = 1, i < 1000000, i++, tmp = IntegerDigits[i^3, 12]; If[tmp == Reverse[tmp], Print[i]];]; (* Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 13 2006 *)

%t Select[Range[0,52*10^8],IntegerDigits[#^3,12]==Reverse[ IntegerDigits[ #^3,12]]&] (* _Harvey P. Dale_, Mar 07 2018 *)

%Y Cf. A046246.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, May 15 1998

%E More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 13 2006