A382085 a(n) is the unique k such that A382067(n) * A382067(n+1) = k!.

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 13, 12, 11, 10, 11, 12, 13, 14, 15, 13, 9, 8, 7, 4, 5, 6, 7, 8, 10, 11, 12, 10, 5, 6, 7, 8, 9, 7, 6, 7, 8, 7, 8, 9, 7, 6, 7, 9, 10, 11, 12, 10, 9, 8, 5, 6, 7, 8, 9, 8, 9, 10, 8, 7, 6, 7, 9, 10, 11, 12, 10, 9, 10

Offset: 1

Author

Rémy Sigrist, Mar 15 2025

Keywords

• nonn

Examples

			A382067(15) * A382067(15+1) = 2027025 * 3072 = 13!, so a(15) = 13.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program

Crossrefs

Cf. A084558, A382067.

Programs

PARI

\\ See Links section.

Formula

a(n) = A084558(A382067(n) * A382067(n+1)).