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A374799 Irregular table T(n, k), n >= 0, k = 1..A048883(n), read by rows; the n-th row lists the numbers m such that A003986(m) = n.

%I A374799 #14 Jul 22 2024 14:26:51
%S A374799 0,1,2,4,3,5,12,6,7,8,9,11,13,17,18,24,10,14,40,15,16,19,20,22,26,49,
%T A374799 50,60,21,23,25,27,38,42,59,61,84,28,29,30,31,32,33,34,35,37,39,41,43,
%U A374799 47,48,51,52,58,62,70,71,72,73,83,85,97,98,112,36,44,144
%N A374799 Irregular table T(n, k), n >= 0, k = 1..A048883(n), read by rows; the n-th row lists the numbers m such that A003986(m) = n.
%C A374799 A003986 corresponds to a square array, but we consider it here as a flat sequence (when its values are read according along its antidiagonals).
%C A374799 As a flat sequence, this is a permutation of the nonnegative integers with inverse A374800.
%H A374799 Rémy Sigrist, <a href="/A374799/b374799.txt">Table of n, a(n) for n = 0..16383</a>
%H A374799 Rémy Sigrist, <a href="/A374799/a374799.gp.txt">PARI program</a>
%H A374799 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A374799 T(n, 1) = A000217(n).
%F A374799 T(n, A048883(n)) = A046092(n).
%e A374799 Table T(n, k) begins:
%e A374799      n  n-th row
%e A374799      -  --------
%e A374799      0  0,
%e A374799      1  1, 2, 4;
%e A374799      2  3, 5, 12;
%e A374799      3  6, 7, 8, 9, 11, 13, 17, 18, 24;
%e A374799      4  10, 14, 40;
%e A374799      5  15, 16, 19, 20, 22, 26, 49, 50, 60;
%e A374799      6  21, 23, 25, 27, 38, 42, 59, 61, 84;
%e A374799         ...
%o A374799 (PARI) \\ See Links section.
%Y A374799 See A374817 for a similar sequence.
%Y A374799 Cf. A000217, A003986, A046092, A048883, A374800 (inverse).
%K A374799 nonn,base,look,tabf
%O A374799 0,3
%A A374799 _Rémy Sigrist_, Jul 20 2024