A386290 a(1) = a(2) = 1, and for n > 2, a(n) is the unique k such that A256590(n) = A000120(A256590(n))^k.

1, 1, 4, 4, 5, 5, 6, 5, 8, 8, 8, 10, 10, 10, 11, 12, 13, 15, 13, 16, 17, 14, 17, 19, 18, 18, 19, 26, 20, 23, 23, 23, 26, 26, 25, 25, 27, 27, 35, 30, 31, 31, 31, 32, 33, 34, 34, 35, 33, 39, 35, 36, 40, 38, 39, 40, 42, 42, 43, 42, 51, 44, 47, 44, 59, 47, 50, 48

Offset: 1

Author

Rémy Sigrist, Jul 17 2025

Keywords

• nonn
• base

Examples

			For n = 8: A256590(8) = 59049 = 9^5 = A000120(59049)^5, so a(8) = 5.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..3898
• Rémy Sigrist, PARI program

Crossrefs

Cf. A000120, A256590, A386248, A386289.

Programs

PARI

\\ See Links section.

Formula

A256590(n) = A386289(n)^a(n).