A371961 Nonnegative integers ordered by A371944 and then by value, with offset 0.

0, 1, 3, 2, 6, 7, 4, 5, 12, 15, 13, 14, 9, 10, 8, 11, 24, 25, 30, 31, 26, 27, 28, 29, 18, 19, 20, 21, 16, 17, 22, 23, 48, 51, 60, 63, 49, 50, 61, 62, 53, 54, 57, 58, 52, 55, 56, 59, 36, 39, 40, 43, 37, 38, 41, 42, 33, 34, 45, 46, 32, 35, 44, 47, 96, 97, 102, 103, 120, 121, 126, 127

Offset

0,3

Comments

This sequence is a permutation of the nonnegative integers with inverse A371962.

This sequence can be seen as an irregular table where the n-th row contains the integers k such that A371944(k) equals the n-th integer belonging to A371944.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..8191

Rémy Sigrist, PARI program

Index entries for sequences that are permutations of the natural numbers

Formula

A070939(a(n)) = A070939(n).

Example

The first terms, alongside A371944(a(n)), are:
  n   a(n)  A371944(a(n))
  --  ----  -------------
   0     0              0
   1     1              1
   2     3              2
   3     2              3
   4     6              5
   5     7              5
   6     4              6
   7     5              6
   8    12             10
   9    15             10
  10    13             11
  11    14             11
  12     9             12
  13    10             12
  14     8             13
  15    11             13
  16    24             21
.
As an irregular table, sequence begins:
  n   n-th row          A371944(T(n, k))
  --  ----------------  ----------------
   0  [0]                              0
   1  [1]                              1
   2  [3]                              2
   3  [2]                              3
   4  [6, 7]                           5
   5  [4, 5]                           6
   6  [12, 15]                        10
   7  [13, 14]                        11
   8  [9, 10]                         12
   9  [8, 11]                         13
  10  [24, 25, 30, 31]                21
  11  [26, 27, 28, 29]                22
  12  [18, 19, 20, 21]                25
  13  [16, 17, 22, 23]                26

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A070939, A371944, A371962 (inverse).

Sequence in context: A154442 A375183 A377355 * A354225 A154445 A165199

Adjacent sequences: A371958 A371959 A371960 * A371962 A371963 A371964

Keyword

nonn,base,tabf

Author

Rémy Sigrist, Apr 14 2024

Status

approved