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A349838 Irregular table read by rows; the n-th row contains in ascending order the integers m > 1 such that sigma(m) = tau(m)^n; the first row contains 1.

%I A349838 #7 Dec 07 2021 07:24:41
%S A349838 1,3,7,217,2667,31,889,27559,3937,172011,677207307,127,1777447,
%T A349838 225735769,57337,11010027,12189603,3612185689,698915267211,253921,
%U A349838 113770279,116522119,29587412978599,917497,1040257,931892355289,954432676729,811637999283747
%N A349838 Irregular table read by rows; the n-th row contains in ascending order the integers m > 1 such that sigma(m) = tau(m)^n; the first row contains 1.
%C A349838 The n-th row has A349837(n) terms.
%C A349838 As a flat sequence, this is a permutation of A051281.
%H A349838 Rémy Sigrist, <a href="/A349838/a349838.gp.txt">PARI program for A349838</a>
%F A349838 T(n, 1) = A349006(n) when A349837(n) > 0.
%F A349838 T(n, A349837(n)) = A349007(n) when A349837(n) > 0.
%F A349838 A334455(T(n, k)) = n.
%e A349838 Table begins:
%e A349838     1;
%e A349838     3;
%e A349838     7;
%e A349838     217, 2667;
%e A349838     31, 889, 27559;
%e A349838     3937, 172011, 677207307;
%e A349838     127, 1777447, 225735769;
%e A349838     57337, 11010027, 12189603, 3612185689, 698915267211;
%e A349838     253921, 113770279, 116522119, 29587412978599;
%e A349838     917497, 1040257, 931892355289, 954432676729, 811637999283747;
%e A349838     ...
%o A349838 (PARI) See Links section.
%Y A349838 Cf. A000005 (tau), A000203 (sigma), A051281, A334455, A349006, A349007, A349837.
%K A349838 nonn,tabf
%O A349838 1,2
%A A349838 _Rémy Sigrist_, Dec 01 2021