A355504 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, among the decimal digits of n and a(n) (counted with multiplicity) there are as many even digits as odd digits.

1, 0, 3, 2, 5, 4, 7, 6, 9, 8, 10, 20, 12, 22, 14, 24, 16, 26, 18, 28, 11, 21, 13, 23, 15, 25, 17, 27, 19, 29, 30, 40, 32, 42, 34, 44, 36, 46, 38, 48, 31, 41, 33, 43, 35, 45, 37, 47, 39, 49, 50, 60, 52, 62, 54, 64, 56, 66, 58, 68, 51, 61, 53, 63, 55, 65, 57, 67

Offset

0,3

Comments

Leading zeros for positive integers are ignored.

This sequence is a self-inverse permutation of the nonnegative integers.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..9110

Rémy Sigrist, Log-log scatterplot of the sequence for n = 0..9111110

Rémy Sigrist, PARI program

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = n iff n belongs to A227870.

a(n) belongs to A352546 iff n belongs to A352547 and vice versa.

Example

Some terms alongside the corresponding even and odd digits are:
    n    a(n)  even   odd
    ---  ----  -----  -----
      0     1      0      1
      1     0      0      1
      2     3      2      3
      3     2      2      3
      4     5      4      5
      5     4      4      5
      6     7      6      7
      7     6      6      7
      8     9      8      9
      9     8      8      9
     10    10     00     11
     11    20     20     11
     12    12     22     11
     13    22     22     13
     14    14     44     11
    ...   ...    ...    ...
     90    90     00     99
     91  1000    000    911
     92    92     22     99
     93  1002    002    931
     94    94     44     99
     95  1004    004    951
     96    96     66     99
     97  1006    006    971
     98    98     88     99
     99  1008    008    991
    100   101    000    111

Prog

(PARI) See Links section.

Crossrefs

Cf. A227870 (fixed points), A352546, A352547, A352760.

Sequence in context: A066251 A114882 A306436 * A004442 A065190 A152208

Adjacent sequences: A355501 A355502 A355503 * A355505 A355506 A355507

Keyword

nonn,base

Author

Rémy Sigrist, Jul 05 2022

Status

approved