A382083 a(n) is the ratio between A382067(n) and A382067(n+2).

3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 210, 13, 12, 11, 11, 12, 13, 14, 15, 210, 17160, 9, 8, 210, 5, 6, 7, 8, 90, 11, 12, 132, 30240, 6, 7, 8, 9, 72, 7, 7, 8, 8, 8, 9, 72, 7, 7, 72, 10, 11, 12, 132, 10, 9, 336, 6, 7, 8, 9, 9, 9, 10, 90, 8, 7, 7, 72, 10

Offset: 1

Author

Rémy Sigrist, Mar 15 2025

Keywords

• nonn

Comments

A382067(n)*A382067(n+1) and A382067(n+1)*A382067(n+2) are factorial numbers, the largest of which, say M, is a multiple of the smallest, say m: a(n) = M/m.

Examples

			A382067(7) = 105, A382067(7+2) = 945, so a(7) = 945 / 105 = 9.
A382067(14) = 645120, A382067(14+2) = 3072, so a(14) = 645120 / 3072 = 210.
		

Links

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

Crossrefs

Cf. A382067.

Programs

PARI

\\ See Links section.

Formula

a(n) = max(A382067(n), A382067(n+2)) / min(A382067(n), A382067(n+2)).