A333423 Numbers that are palindromes in primorial base.

0, 1, 3, 7, 9, 11, 31, 39, 47, 211, 217, 223, 229, 235, 243, 249, 255, 261, 267, 275, 281, 287, 293, 299, 2311, 2347, 2383, 2419, 2455, 2523, 2559, 2595, 2631, 2667, 2735, 2771, 2807, 2843, 2879, 30031, 30061, 30091, 30121, 30151, 30181, 30211, 30247, 30277, 30307

Offset

1,3

Links

Amiram Eldar, Table of n, a(n) for n = 1..2500

Wikipedia, Primorial number system.

Index entries for sequences related to primorial base.

Example

3 is a term since its representation in primorial base is 11 (1 * 2# + 1) which is a palindrome.
7 is a term since its representation in primorial base is 101 (1 * 3# + 0 * 2# + 1 = 6 + 1) which is a palindrome.

Mathematica

max = 6; bases = Prime @ Range[max, 1, -1]; nmax = Times @@ bases - 1; Select[Range[0, nmax], PalindromeQ @ IntegerDigits[#, MixedRadix[bases]] &]

Crossrefs

Cf. A049345, A235168.

Cf. A002113, A006995, A014190, A014192, A029952, A029953, A029954, A029803, A029955, A046807.

Sequence in context: A018596 A191181 A046807 * A178836 A338712 A263926

Adjacent sequences: A333420 A333421 A333422 * A333424 A333425 A333426

Keyword

nonn,base

Author

Amiram Eldar, Mar 20 2020

Status

approved