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

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

nonn,base

Author

Patrick De Geest, May 15 1998

Extensions

More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 13 2006

a(29) and beyond from Michael S. Branicky, Aug 07 2022

Status

approved