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Cubes which are palindromes in base 11.
1

%I #13 Aug 11 2024 14:31:41

%S 0,1,8,343,1728,1815848,2352637,2363266368,3139071497288,

%T 3217539292947,4083724283904,4177325982172608,4291332507800064,

%U 5424315547313664,5559926728782676328,5572467905087005957,7218419297194266624

%N Cubes which are palindromes in base 11.

%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) = A046243(n)^3. - _Andrew Howroyd_, Aug 11 2024

%t pal11Q[n_]:=Module[{id=IntegerDigits[n,11]},id==Reverse[id]]; Select[ Range[0,2000000]^3,pal11Q] (* _Harvey P. Dale_, Nov 27 2012 *)

%Y Intersection of A029956 and A000578.

%Y Cf. A046243.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, May 15 1998

%E Offset corrected by _Andrew Howroyd_, Aug 11 2024