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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

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Last modified August 9 17:13 EDT 2022. Contains 356026 sequences. (Running on oeis4.)