

A333423


Numbers that are palindromes in primorial base.


3



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



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, A002113, A046807.
Sequence in context: A018596 A191181 A046807 * A178836 A338712 A263926
Adjacent sequences: A333420 A333421 A333422 * A333424 A333425 A333426


KEYWORD

nonn


AUTHOR

Amiram Eldar, Mar 20 2020


EXTENSIONS

nonn


STATUS

approved



