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A345101 Irregular triangle T(n, k) read by rows, n >= 0, k = 1..A000119(n); the n-th row contains the numbers m such that A022290(m) = n, in increasing order.

%I A345101 #17 Jun 10 2021 15:44:26
%S A345101 0,1,2,3,4,5,6,8,7,9,10,11,12,16,13,17,14,18,15,19,20,21,22,24,32,23,
%T A345101 25,33,26,34,27,28,35,36,29,37,30,38,40,31,39,41,42,43,44,48,64,45,49,
%U A345101 65,46,50,66,47,51,52,67,68,53,69,54,56,70,72,55,57,71,73
%N A345101 Irregular triangle T(n, k) read by rows, n >= 0, k = 1..A000119(n); the n-th row contains the numbers m such that A022290(m) = n, in increasing order.
%C A345101 When interpreted as a flat sequence, yields a permutation of the nonnegative integers.
%H A345101 Rémy Sigrist, <a href="/A345101/b345101.txt">Table of n, a(n) for n = 0..10922</a>
%H A345101 Rémy Sigrist, <a href="/A345101/a345101.gp.txt">PARI program for A345101</a>
%H A345101 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A345101 T(n, 1) = A003754(n+1).
%F A345101 T(n, A000119(n)) = A003714(n).
%e A345101 Triangle begins:
%e A345101      0    [0]
%e A345101      1    [1]
%e A345101      2    [2]
%e A345101      3    [3, 4]
%e A345101      4    [5]
%e A345101      5    [6, 8]
%e A345101      6    [7, 9]
%e A345101      7    [10]
%e A345101      8    [11, 12, 16]
%e A345101      9    [13, 17]
%e A345101     10    [14, 18]
%e A345101     11    [15, 19, 20]
%e A345101     12    [21]
%o A345101 (PARI) See Links section.
%Y A345101 Cf. A000119 (row lengths), A003714, A003754, A022290.
%K A345101 nonn,look,tabf
%O A345101 0,3
%A A345101 _Rémy Sigrist_, Jun 08 2021