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

1,3

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

Table of n, a(n) for n=1..15.

Patrick De Geest, World!Of Numbers

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 *)

Prog

(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

Crossrefs

Cf. A046236.

Sequence in context: A255672 A077239 A362087 * A297329 A347726 A339686

Adjacent sequences: A046232 A046233 A046234 * A046236 A046237 A046238

Keyword

nonn,more,base

Author

Patrick De Geest, May 15 1998

Extensions

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

Status

approved