A349837 -id:A349837

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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.

+10
3

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

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

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

LINKS

Table of n, a(n) for n=1..28.

Rémy Sigrist, PARI program for A349838

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.

EXAMPLE

Table begins:

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;

...

PROG

(PARI) See Links section.

CROSSREFS

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

KEYWORD

nonn,tabf

AUTHOR

Rémy Sigrist, Dec 01 2021

STATUS

approved

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