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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 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
COMMENTS
Obviously 3^n < a(n) < 3.5^n.
LINKS
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
Sequence in context: A297797 A210321 A356278 * A306423 A287018 A152094
KEYWORD
more,nonn
AUTHOR
Markus Sigg, Jul 15 2022
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)