A046243 - OEIS

A046243

Numbers whose cube is palindromic in base 11.

0, 1, 2, 7, 12, 122, 133, 1332, 14642, 14763, 15984, 161052, 162504, 175704, 1771562, 1772893, 1932624, 19487172, 19503144, 19648344, 21258744, 214358882, 214373523, 214521264, 216130564, 233846064, 2357947692, 2358123384, 2377434984, 2572306584, 25937424602

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OFFSET

1,3

COMMENTS

Contains all terms of A069748, interpreted as base-11 numbers, and then converted to decimal. - Michael S. Branicky, Aug 06 2022

LINKS

Michael S. Branicky, Table of n, a(n) for n = 1..36

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

MATHEMATICA

For[i = 1, i < 1000000, i++, tmp = IntegerDigits[i^3, 11]; If[tmp == Reverse[tmp], Print[i]]; ]; (* Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 13 2006 *)

PROG

(PARI) isok(k) = my(d=digits(k^3, 11)); 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, 11))

print(list(islice(agen(), 17))) # Michael S. Branicky, Aug 02 2022

CROSSREFS

Cf. A046244, A069748.

Sequence in context: A084068 A192772 A353069 * A230302 A230637 A301852

Adjacent sequences: A046240 A046241 A046242 * A046244 A046245 A046246

KEYWORD