A046236 Cubes which are palindromes in base 6.

0, 1, 343, 50653, 10218313, 2181825073, 470366406433, 101566487155393, 21937185733709953, 4738389801656378113, 1023490673757369487873, 221073930689208859487233

Offset: 1

Author

Patrick De Geest, May 15 1998

Keywords

• nonn
• base

Comments

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

Links

• Patrick De Geest, World!Of Numbers, Palindromic cubes in bases 2 to 17.

Crossrefs

Intersection of A029953 and A000578.

Cf. A046235.

Programs

Mathematica

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

Formula

a(n) = A046235(n)^3. - Andrew Howroyd, Aug 10 2024

Extensions

Offset corrected by Andrew Howroyd, Aug 10 2024