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A285916 Self-inverse permutation: in base 3, reverse the lengths of runs of consecutive equal digits. 1
0, 1, 2, 3, 4, 5, 6, 7, 8, 12, 10, 11, 9, 13, 17, 15, 16, 14, 24, 19, 20, 21, 25, 23, 18, 22, 26, 39, 28, 29, 30, 37, 32, 33, 34, 38, 36, 31, 35, 27, 40, 53, 45, 49, 44, 42, 46, 47, 48, 43, 50, 51, 52, 41, 78, 55, 56, 57, 73, 59, 60, 61, 74, 75, 64, 65, 66, 79 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This sequence can be seen as an analog of A056539 for the base 3.

For any n>=0, n and a(n) have the same number of digits in base 3.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..6560

Rémy Sigrist, PARI program for A285916

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

The first terms for which n<>a(n) are:

Decimal:    Base 3:

n   a(n)    n       a(n)

-   ----    ---     ----

9   12      100     110

12  9       110     100

14  17      112     122

17  14      122     112

18  24      200     220

22  25      211     221

24  18      220     200

25  22      221     211

27  39      1000    1110

31  37      1011    1101

35  38      1022    1102

37  31      1101    1011

38  35      1102    1022

39  27      1110    1000

41  53      1112    1222

42  45      1120    1200

CROSSREFS

Cf. A056539.

Sequence in context: A211699 A118600 A080543 * A119797 A032972 A210585

Adjacent sequences:  A285913 A285914 A285915 * A285917 A285918 A285919

KEYWORD

nonn,base,look

AUTHOR

Rémy Sigrist, Apr 28 2017

STATUS

approved

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Last modified August 5 22:41 EDT 2021. Contains 346488 sequences. (Running on oeis4.)