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A368577 Irregular table T(n, k), n >= 0, k = 1..A036497(n), read by rows; the n-th row lists the numbers m such that A331835(m) = n.

%I A368577 #17 Mar 29 2025 00:23:32
%S A368577 0,1,2,3,4,5,6,8,7,9,10,16,11,12,17,13,18,14,19,20,15,21,32,22,24,33,
%T A368577 23,25,34,64,26,35,36,65,27,28,37,66,29,38,40,67,68,30,39,41,69,128,
%U A368577 31,42,48,70,72,129,43,44,49,71,73,130,256,45,50,74,80,131,132,257
%N A368577 Irregular table T(n, k), n >= 0, k = 1..A036497(n), read by rows; the n-th row lists the numbers m such that A331835(m) = n.
%C A368577 As a flat sequence, this is a permutation of the nonnegative integers (with inverse A368578).
%H A368577 Rémy Sigrist, <a href="/A368577/b368577.txt">Table of n, a(n) for n = 0..10888</a> (rows for n = 0..104 flattened)
%H A368577 Rémy Sigrist, <a href="/A368577/a368577.gp.txt">PARI program</a>
%H A368577 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A368577 T(n, 1) = A345297(n).
%F A368577 T(n, A036497(n)) = A200947(n).
%e A368577 Table T(n, k) begins:
%e A368577   n   n-th row
%e A368577   --  ------------------
%e A368577    0  0
%e A368577    1  1
%e A368577    2  2
%e A368577    3  3, 4
%e A368577    4  5
%e A368577    5  6, 8
%e A368577    6  7, 9
%e A368577    7  10, 16
%e A368577    8  11, 12, 17
%e A368577    9  13, 18
%e A368577   10  14, 19, 20
%e A368577   11  15, 21, 32
%e A368577   12  22, 24, 33
%e A368577   13  23, 25, 34, 64
%e A368577   14  26, 35, 36, 65
%e A368577   15  27, 28, 37, 66
%e A368577   16  29, 38, 40, 67, 68
%o A368577 (PARI) \\ See Links section.
%Y A368577 Cf. A036497, A200947, A331835, A345101, A345297, A368578 (inverse).
%K A368577 nonn,base,tabf
%O A368577 0,3
%A A368577 _Rémy Sigrist_, Dec 31 2023