

A321524


Rightrotate nonzero digits in ternary expansion of n and convert back to decimal.


2



0, 1, 2, 3, 4, 7, 6, 5, 8, 9, 10, 19, 12, 13, 22, 21, 14, 23, 18, 11, 20, 15, 16, 25, 24, 17, 26, 27, 28, 55, 30, 31, 58, 57, 32, 59, 36, 37, 64, 39, 40, 67, 66, 41, 68, 63, 38, 65, 42, 43, 70, 69, 44, 71, 54, 29, 56, 33, 34, 61, 60, 35, 62, 45, 46, 73, 48, 49
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,3


COMMENTS

This sequence is a permutation of the nonnegative integers with inverse A321525.


LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..6561
Index entries for sequences that are permutations of the natural numbers


FORMULA

a(3 * n) = 3 * a(n).


EXAMPLE

The first terms, alongside the corresponding ternary representations, are:
n a(n) ter(n) ter(a(n))
   
0 0 0 0
1 1 1 1
2 2 2 2
3 3 10 10
4 4 11 11
5 7 12 21
6 6 20 20
7 5 21 12
8 8 22 22
9 9 100 100
10 10 101 101
11 19 102 201
12 12 110 110
13 13 111 111
14 22 112 211
15 21 120 210
16 14 121 112
17 23 122 212


PROG

(PARI) a(n, base=3) = my (d=digits(n, base), t=select(sign, d), i=2); for (j=1, #d, if (d[j], d[j]=t[1+(i++%#t)])); fromdigits(d, base)


CROSSREFS

Cf. A321464, A321525 (inverse).
Sequence in context: A117922 A266643 A321525 * A321464 A263273 A337305
Adjacent sequences: A321521 A321522 A321523 * A321525 A321526 A321527


KEYWORD

nonn,base


AUTHOR

Rémy Sigrist, Nov 12 2018


STATUS

approved



