A046244 Cubes which are palindromes in base 11.

0, 1, 8, 343, 1728, 1815848, 2352637, 2363266368, 3139071497288, 3217539292947, 4083724283904, 4177325982172608, 4291332507800064, 5424315547313664, 5559926728782676328, 5572467905087005957, 7218419297194266624

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 A029956 and A000578.

Cf. A046243.

Programs

Mathematica

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

Formula

a(n) = A046243(n)^3. - Andrew Howroyd, Aug 11 2024

Extensions

Offset corrected by Andrew Howroyd, Aug 11 2024