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A358086 Inventory of positions ordered by odd parts of terms, as an irregular table; the first row contains 1, subsequent rows contains the 1-based positions of terms with odd part 1, followed by positions of terms with odd part 3, 5, etc. in prior rows flattened.

%I A358086 #16 Nov 03 2022 10:06:33
%S A358086 1,1,1,2,1,2,3,4,1,2,3,4,5,6,8,7,1,2,3,4,5,6,8,9,10,12,15,7,11,14,13,
%T A358086 16,1,2,3,4,5,6,8,9,10,12,15,17,18,20,23,32,7,11,14,19,22,26,13,21,25,
%U A358086 16,28,30,24,29,31,27
%N A358086 Inventory of positions ordered by odd parts of terms, as an irregular table; the first row contains 1, subsequent rows contains the 1-based positions of terms with odd part 1, followed by positions of terms with odd part 3, 5, etc. in prior rows flattened.
%C A358086 The n-th row contains A011782(n-1) terms, and is a permutation of 1..A011782(n-1).
%H A358086 Rémy Sigrist, <a href="/A358086/b358086.txt">Table of n, a(n) for n = 1..8192</a>
%H A358086 Rémy Sigrist, <a href="/A358086/a358086.gp.txt">PARI program</a>
%H A358086 Rémy Sigrist, <a href="/A358086/a358086.png">Scatterplot of the first 2^20 terms</a>
%e A358086 Table begins:
%e A358086     1,
%e A358086     1,
%e A358086     1, 2,
%e A358086     1, 2, 3, 4,
%e A358086     1, 2, 3, 4, 5, 6, 8, 7,
%e A358086     1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 7, 11, 14, 13, 16,
%e A358086     ...
%e A358086 For n = 6:
%e A358086 the terms in rows 1..5 are: 1, 1, 1, 2, 1, 2, 3, 4, 1, 2, 3, 4, 5, 6, 8, 7,
%e A358086 - terms with odd part 1 are at positions: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15,
%e A358086 - terms with odd part 3 are at positions: 7, 11, 14,
%e A358086 - terms with odd part 5 are at positions: 13,
%e A358086 - terms with odd part 7 are at positions: 16,
%e A358086 - so row 6 is: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 7, 11, 14, 13, 16.
%o A358086 (PARI) See Links section.
%Y A358086 Cf. A000265, A011782, A342585, A356784, A358085, A358122.
%K A358086 nonn,tabf
%O A358086 1,4
%A A358086 _Rémy Sigrist_, Oct 30 2022