A343129 Numbers that are palindromes in base 3/2.

0, 1, 2, 5, 8, 17, 35, 170, 278, 422, 494

Offset: 0

Author

Wyatt Powers, Apr 05 2021

Keywords

• nonn
• base
• more

Comments

Next term >= 10^12. - Joerg Arndt, Apr 06 2021

Next term > 2^64. - David Radcliffe, Dec 10 2021

Examples

			    0:  0
    1:  1
    2:  2
    5:  22
    8:  212
   17:  21012
   35:  212212
  170:  2120220212
  278:  21221112212
  422:  2101100011012
  494:  2120010100212
		

Links

• Matvey Borodin, Hannah Han, Kaylee Ji, Tanya Khovanova, Alexander Peng, David Sun, Isabel Tu, Jason Yang, William Yang, Kevin Zhang, and Kevin Zhao, Variants of Base 3 over 2, arXiv:1901.09818 [math.NT], 2019.
• B. Chen, R. Chen, J. Guo, S. Lee et al., On Base 3/2 and its sequences, arXiv:1808.04304 [math.NT], 2018.

Crossrefs

Cf. A024629.

Programs

Mathematica

(* All terms <= 500: *)
b = {};
a[n_] := If[n < 1, 0, a[Quotient[n, 3] 2] 10 + Mod[n, 3]];
Do[If[PalindromeQ[a[n]], AppendTo[b, n], Nothing], {n, 0, 500}];
b