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
Examples
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.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
Programs
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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 *)
Formula
a(n) = A091077(n) / 4. - Hugo Pfoertner, Jun 10 2022
Comments