A319595 Numbers in base 10 that are palindromic in bases 3, 7, and 9.

0, 1, 2, 4, 8, 40, 100, 164, 328, 400, 8200, 14762, 532900

Offset: 1

Author

Jeremias M. Gomes, Sep 23 2018

Keywords

• nonn
• base
• more

Comments

Intersection of A014190, A029954, and A029955.

No other terms < 10^17. It is likely that there are no more terms. - Chai Wah Wu, Mar 20 2020

Examples

			400 = 112211_3 = 1111_7 = 484_9.
		

Crossrefs

Cf. A014190 (base 3), A029954 (base 7), and A029955 (base 9).

Programs

Sage

[n for n in (0..100000) if Word(n.digits(3)).is_palindrome() and Word(n.digits(7)).is_palindrome() and Word(n.digits(9)).is_palindrome()]