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

%I A371961 #15 Apr 17 2024 10:31:57
%S A371961 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,
%T A371961 20,21,16,17,22,23,48,51,60,63,49,50,61,62,53,54,57,58,52,55,56,59,36,
%U A371961 39,40,43,37,38,41,42,33,34,45,46,32,35,44,47,96,97,102,103,120,121,126,127
%N A371961 Nonnegative integers ordered by A371944 and then by value, with offset 0.
%C A371961 This sequence is a permutation of the nonnegative integers with inverse A371962.
%C A371961 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.
%H A371961 Rémy Sigrist, <a href="/A371961/b371961.txt">Table of n, a(n) for n = 0..8191</a>
%H A371961 Rémy Sigrist, <a href="/A371961/a371961.gp.txt">PARI program</a>
%H A371961 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A371961 A070939(a(n)) = A070939(n).
%e A371961 The first terms, alongside A371944(a(n)), are:
%e A371961   n   a(n)  A371944(a(n))
%e A371961   --  ----  -------------
%e A371961    0     0              0
%e A371961    1     1              1
%e A371961    2     3              2
%e A371961    3     2              3
%e A371961    4     6              5
%e A371961    5     7              5
%e A371961    6     4              6
%e A371961    7     5              6
%e A371961    8    12             10
%e A371961    9    15             10
%e A371961   10    13             11
%e A371961   11    14             11
%e A371961   12     9             12
%e A371961   13    10             12
%e A371961   14     8             13
%e A371961   15    11             13
%e A371961   16    24             21
%e A371961 .
%e A371961 As an irregular table, sequence begins:
%e A371961   n   n-th row          A371944(T(n, k))
%e A371961   --  ----------------  ----------------
%e A371961    0  [0]                              0
%e A371961    1  [1]                              1
%e A371961    2  [3]                              2
%e A371961    3  [2]                              3
%e A371961    4  [6, 7]                           5
%e A371961    5  [4, 5]                           6
%e A371961    6  [12, 15]                        10
%e A371961    7  [13, 14]                        11
%e A371961    8  [9, 10]                         12
%e A371961    9  [8, 11]                         13
%e A371961   10  [24, 25, 30, 31]                21
%e A371961   11  [26, 27, 28, 29]                22
%e A371961   12  [18, 19, 20, 21]                25
%e A371961   13  [16, 17, 22, 23]                26
%o A371961 (PARI) \\ See Links section.
%Y A371961 Cf. A070939, A371944, A371962 (inverse).
%K A371961 nonn,base,tabf
%O A371961 0,3
%A A371961 _Rémy Sigrist_, Apr 14 2024