A354886 Numbers that are palindromes in both ternary and balanced ternary representations with representations that are different.

16, 52, 160, 484, 1312, 1456, 3904, 4372, 11680, 12688, 13120, 35008, 37960, 39364, 104992, 106288, 113776, 116800, 118096, 314944, 319156, 341224, 350080, 354292, 944800, 948688, 957760, 1023568, 1027456, 1049920, 1058992, 1062880, 2834368, 2847004, 2873572

Offset

1,1

Comments

Is a(n) == 16 (mod 18) for all n?

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) = A091077(n) / 4. - Hugo Pfoertner, Jun 10 2022

Example

16 is a term since its ternary representation is 121 and its balanced ternary representation (with 2 standing for the -1 digit) is 1221, and both are palindromes.

Mathematica

Select[Range[0, 3*10^6], PalindromeQ[d3 = IntegerDigits[#, 3]] && PalindromeQ[db3 = balTernDigits[#]] && d3 != db3 &] (* using balTernDigits by Robert G. Wilson v at A134027 *)

Crossrefs

Equals A354885 \ A005836.

Cf. A007089, A014190, A091077, A134027, A140267.

Sequence in context: A211578 A211592 A235653 * A087701 A211586 A232509

Adjacent sequences: A354883 A354884 A354885 * A354887 A354888 A354889

Keyword

nonn,base

Author

Amiram Eldar, Jun 10 2022

Status

approved