A062841 Palindromes of the form k^3-1.

0, 7, 999, 999999, 258474852, 999999999, 999999999999, 999999999999999, 999999999999999999, 999999999999999999999, 999999999999999999999999, 999999999999999999999999999, 999999999999999999999999999999, 999999999999999999999999999999999

Offset: 1

Author

Erich Friedman, Jul 21 2001

Keywords

• base
• nonn

Comments

Sequence is infinite as (10^k)^3-1 is a term for all k >= 0. - Michael S. Branicky, Mar 27 2021

Examples

			999 = 10^3-1 and is a palindrome.
		

Crossrefs

Intersection of A002113 and A068601.

Programs

Mathematica

For[n=0,n<100000000,n++,If[n^3-1==IntegerReverse[n^3-1],Print[n^3-1]]] (* Dylan Delgado, Mar 02 2021 *)
Select[Range[10^7]^3-1,PalindromeQ] (* The program generates the first ten terms of the sequence. *) (* Harvey P. Dale, Oct 08 2023 *)

Python

def afind(limit):
  for n in range(limit+1):
    s = str(n**3 - 1)
    if s == s[::-1]: print(int(s), end=", ")
print(afind(10**7)) # Michael S. Branicky, Mar 27 2021

Extensions

One more term from Emeric Deutsch, Feb 26 2005

a(10)-a(14) from Michael S. Branicky, Mar 27 2021