A046235 - OEIS

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A046235

Numbers whose cube is palindromic in base 6.

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

(list; graph; refs; listen; history; text; internal format)

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, Palindromic cubes in bases 2 to 17.

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