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Cubes which are palindromes in base 6.
1

%I #15 Aug 11 2024 14:20:43

%S 0,1,343,50653,10218313,2181825073,470366406433,101566487155393,

%T 21937185733709953,4738389801656378113,1023490673757369487873,

%U 221073930689208859487233

%N Cubes which are palindromes in base 6.

%C Note that '7'^3 = '1331{6}' = '363{10}' = '292{11}' is a palindromic street !

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

%F a(n) = A046235(n)^3. - _Andrew Howroyd_, Aug 10 2024

%t pal6Q[n_]:=Module[{idn6=IntegerDigits[n,6]},idn6==Reverse[idn6]]; Select[ Range[ 0,6047*10^4]^3,pal6Q] (* _Harvey P. Dale_, Jun 01 2022 *)

%Y Intersection of A029953 and A000578.

%Y Cf. A046235.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, May 15 1998

%E Offset corrected by _Andrew Howroyd_, Aug 10 2024