A349837 a(n) is the number of integers m > 1 such that sigma(m) = tau(m)^n, with a(1) = 1.

1, 1, 1, 2, 3, 3, 3, 5, 4, 5, 5, 7, 9, 5, 6, 2, 7, 7, 5, 6, 5, 9, 6, 11, 6, 12, 10, 12, 14, 11, 13, 21, 16, 20, 19, 20, 19, 21, 21, 19, 17, 21, 18, 22, 19, 22, 20, 17, 17, 15, 23, 14, 17, 12, 16, 9, 11, 12, 10, 9, 9, 7, 10, 3, 8, 7, 6, 3, 7, 4, 4, 4, 3, 3, 2

Offset: 1

Author

Rémy Sigrist, Dec 01 2021

Keywords

• nonn

Comments

a(n) is the number of integers m such that A334455(m) = n.

Conjecture: a(n) > 0 except for n = 76 and n = 81.

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..5000
• Rémy Sigrist, PARI program for A349837

Crossrefs

Cf. A000005 (tau), A000203 (sigma), A334455, A349006, A349007, A349838.

Programs

PARI

See Links section.