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

1,3

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

Links

Table of n, a(n) for n=1..13.

Example

400 = 112211_3 = 1111_7 = 484_9.

Prog

(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()]

Crossrefs

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

Sequence in context: A018380 A058236 A259120 * A285632 A102918 A326951

Adjacent sequences: A319592 A319593 A319594 * A319596 A319597 A319598

Keyword

nonn,base,more

Author

Jeremias M. Gomes, Sep 23 2018

Status

approved