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Cubes which are palindromes in base 13.
1

%I #14 Aug 11 2024 14:36:26

%S 0,1,8,2744,4913000,6128487,10618986392,13481272000,23300532400328,

%T 23716588941891,29138498659648,51186306590680184,52171080143896000,

%U 63936660906500032,112455476846227241000,112609104493770863343

%N Cubes which are palindromes in base 13.

%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) = A046247(n)^3. - _Andrew Howroyd_, Aug 10 2024

%t Select[Range[0,5*10^6]^3,IntegerDigits[#,13]==Reverse[ IntegerDigits[ #,13]]&] (* _Harvey P. Dale_, Dec 10 2017 *)

%Y Intersection of A029958 and A000578.

%Y Cf. A046247.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, May 15 1998

%E Offset corrected by _Andrew Howroyd_, Aug 10 2024