login
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.
6
11, 37, 121, 413, 1442, 5047, 16807, 58457, 204085, 709667, 2483663, 8068753, 30415033
OFFSET
2,1
COMMENTS
Obviously 3^n < a(n) < 3.5^n.
EXAMPLE
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.
PROG
(PARI) See A355626.
CROSSREFS
KEYWORD
more,nonn
AUTHOR
Markus Sigg, Jul 15 2022
STATUS
approved