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

Author

Rémy Sigrist, Apr 14 2024

Keywords

• nonn
• base
• tabf

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.

Examples

			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
		

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

Crossrefs

Cf. A070939, A371944, A371962 (inverse).

Programs

PARI

\\ See Links section.

Formula

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