A046235 Numbers whose cube is palindromic in base 6.

0, 1, 7, 37, 217, 1297, 7777, 46657, 279937, 1679617, 10077697, 60466177, 362797057, 860627456, 2176782337

Offset: 1

Author

Patrick De Geest, May 15 1998

Keywords

• nonn
• more
• base

Comments

Note that '7777' is itself a palindrome, even a repdigit !

Next term is >10000000000. - Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 09 2006

Links

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

Crossrefs

Cf. A046236.

Programs

Mathematica

For[i = 1, i < 1000000, i++, tmp = IntegerDigits[i^3, 6]; If[tmp == Reverse[tmp], Print[i]]]; (* Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 09 2006 *)

PARI

isok(k) = my(d=digits(k^3, 6)); Vecrev(d) == d; \\ Michel Marcus, Aug 02 2022

Python

from itertools import count, islice
from sympy.ntheory import is_palindromic as ispal
def agen(start=0): yield from (k for k in count(start) if ispal(k**3, 6))
print(list(islice(agen(), 10))) # Michael S. Branicky, Aug 02 2022

Extensions

More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 09 2006