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A375112 Triangle T(n, k), n > 0, k = 0..n-1, read by rows; T(n, k) is the unique m such that A375110(m+1) = n and A375110(m) mod A375110(m+1) = k.

%I A375112 #13 Aug 04 2024 12:43:15
%S A375112 1,3,2,5,7,4,10,9,14,6,12,16,18,8,11,21,23,20,30,15,13,26,25,32,36,40,
%T A375112 17,22,28,34,38,42,44,19,24,27,47,49,51,53,46,72,31,33,29,56,58,60,55,
%U A375112 74,82,90,37,35,48,63,65,62,76,84,92,98,41,39,50,57,68,67,78,86,94,100,104,108,43,52,59,64
%N A375112 Triangle T(n, k), n > 0, k = 0..n-1, read by rows; T(n, k) is the unique m such that A375110(m+1) = n and A375110(m) mod A375110(m+1) = k.
%C A375112 As a flat sequence, this is a permutation of the positive integers with inverse A375113.
%H A375112 Rémy Sigrist, <a href="/A375112/b375112.txt">Table of n, a(n) for n = 1..10011</a> (rows for n = 1..141 flattened)
%H A375112 Rémy Sigrist, <a href="/A375112/a375112.png">Colored representation of the first 1000 rows</a>
%H A375112 Rémy Sigrist, <a href="/A375112/a375112.gp.txt">PARI program</a>
%H A375112 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e A375112 Triangle T(n, k) begins:
%e A375112     1;
%e A375112     3, 2;
%e A375112     5, 7, 4;
%e A375112     10, 9, 14, 6;
%e A375112     12, 16, 18, 8, 11;
%e A375112     21, 23, 20, 30, 15, 13;
%e A375112     26, 25, 32, 36, 40, 17, 22;
%e A375112     28, 34, 38, 42, 44, 19, 24, 27;
%e A375112     47, 49, 51, 53, 46, 72, 31, 33, 29;
%e A375112     ...
%o A375112 (PARI) \\ See Links section.
%Y A375112 Cf. A375110, A375113 (inverse).
%K A375112 nonn,tabl
%O A375112 1,2
%A A375112 _Rémy Sigrist_, Jul 30 2024