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.

1, 3, 7, 217, 2667, 31, 889, 27559, 3937, 172011, 677207307, 127, 1777447, 225735769, 57337, 11010027, 12189603, 3612185689, 698915267211, 253921, 113770279, 116522119, 29587412978599, 917497, 1040257, 931892355289, 954432676729, 811637999283747

Offset: 1

Author

Rémy Sigrist, Dec 01 2021

Keywords

• nonn
• tabf

Comments

The n-th row has A349837(n) terms.

As a flat sequence, this is a permutation of A051281.

Examples

			Table begins:
    1;
    3;
    7;
    217, 2667;
    31, 889, 27559;
    3937, 172011, 677207307;
    127, 1777447, 225735769;
    57337, 11010027, 12189603, 3612185689, 698915267211;
    253921, 113770279, 116522119, 29587412978599;
    917497, 1040257, 931892355289, 954432676729, 811637999283747;
    ...
		

Links

• Rémy Sigrist, PARI program for A349838

Crossrefs

Cf. A000005 (tau), A000203 (sigma), A051281, A334455, A349006, A349007, A349837.

Programs

PARI

See Links section.

Formula

T(n, 1) = A349006(n) when A349837(n) > 0.

T(n, A349837(n)) = A349007(n) when A349837(n) > 0.

A334455(T(n, k)) = n.