|
|
|
|
|
|
|
|
|
#14 by Alois P. Heinz at Fri Apr 09 11:37:47 EDT 2021
|
|
|
|
|
|
|
|
#13 by Alois P. Heinz at Fri Apr 09 11:37:43 EDT 2021
|
|
| KEYWORD
|
nonn,look,base,new
|
|
| STATUS
|
proposed
editing
|
|
|
|
|
|
|
#12 by Rémy Sigrist at Fri Apr 09 11:33:07 EDT 2021
|
|
|
|
|
|
|
|
#11 by Rémy Sigrist at Fri Apr 09 11:21:43 EDT 2021
|
|
| LINKS
|
Rémy Sigrist, <a href="/A343228/b343228.txt">Table of n, a(n) for n = 0..6561</a>
|
|
| STATUS
|
approved
editing
|
|
|
|
|
Discussion
|
| Fri Apr 09
| 11:33
| Rémy Sigrist: added b-file
|
|
|
|
|
|
|
#10 by Susanna Cuyler at Fri Apr 09 09:30:17 EDT 2021
|
|
|
|
|
|
|
|
#9 by Rémy Sigrist at Fri Apr 09 00:49:05 EDT 2021
|
|
|
|
|
|
|
|
#8 by Rémy Sigrist at Thu Apr 08 14:46:27 EDT 2021
|
|
| LINKS
|
Wikipedia, <a href="https://en.wikipedia.org/wiki/Balanced_ternary">Balanced ternary</a>
Wikipedia, <a href="https://en.wikipedia.org/wiki/Balanced_ternary">Balanced ternary</a>
|
|
|
|
|
|
|
#7 by Rémy Sigrist at Thu Apr 08 14:45:49 EDT 2021
|
|
|
|
|
|
|
|
#6 by Rémy Sigrist at Thu Apr 08 14:40:42 EDT 2021
|
|
| LINKS
|
Rémy Sigrist, <a href="/A343228/a343228.png">Scatterplot of (a(n), A343229(n)) for n = 0..3^10</a>
|
|
|
|
|
|
|
#5 by Rémy Sigrist at Thu Apr 08 14:34:59 EDT 2021
|
|
| COMMENTS
|
We can extend this sequence to negative indices: a(-n) = A343229(n) for any n >= 0.
|
|
| EXAMPLE
|
The first terms, alongside the balanced ternary representation of n (with "T" instead of digits "-1") and the binary representation of a(n), are:
n a(n) ter(n) bin(a(n))
-- ---- ------ ---------
0 0 0 0
1 1 1 1
2 2 1T 10
3 2 10 10
4 3 11 11
5 4 1TT 100
6 4 1T0 100
7 5 1T1 101
8 4 10T 100
9 4 100 100
10 5 101 101
11 6 11T 110
12 6 110 110
13 7 111 111
14 8 1TTT 1000
15 8 1TT0 1000
|
|
|
|
|
|
