A355630 a(n) is the largest integer that can be written as Product_{i = 1..n} (3 + 1/t_i) with integers t_i >= 2.

11, 37, 121, 413, 1442, 5047, 16807, 58457, 204085, 709667, 2483663, 8068753, 30415033

Offset: 2

Author

Markus Sigg, Jul 15 2022

Keywords

• more
• nonn

Comments

Obviously 3^n < a(n) < 3.5^n.

Examples

			11 = (3 + 1/2) * (3 + 1/7) is the largest integer p that can be written as p = (3 + 1/t_1) * (3 + 1/t_2) with integers t_1,t_2 >= 2 because any such integer p is smaller than 3.5^2 = 12.25 and there is no such representation for p = 12. Hence, a(2) = 11.
		

Crossrefs

Cf. A355626, A355627, A355628, A355629, A355631.

Programs

PARI

See A355626.