A341488 a(0) = 1, and for any n > 0, a(n) = A341458(a(n-1), n).

1, 1, 2, 5, 8, 4, 2, 8, 1, 9, 25, 116, 8, 117, 25, 16, 1, 17, 25, 108, 8, 109, 25, 24, 1, 25, 2, 29, 8, 28, 2, 32, 1, 33, 97, 92, 8, 93, 97, 40, 1, 41, 122, 45, 8, 44, 122, 48, 1, 49, 122, 53, 8, 52, 122, 56, 1, 57, 97, 68, 8, 69, 97, 64, 1, 65, 97, 60, 8, 61

Offset: 0

Author

Rémy Sigrist, Feb 13 2021

Keywords

• nonn
• look
• base

Comments

This sequence is an analog of the factorial function for the group described in A341458, and has interesting graphical features.

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..32769
• Rémy Sigrist, PARI program for A341488

Crossrefs

Cf. A000142, A008590, A017077, A341458.

Programs

PARI

See Links section.

Formula

Apparently:

- a(n) = 1 iff n = 1 or n belongs to A008590,

- a(n) = n iff n belongs to A017077.