MathDB

For each integer

n

, determine the smallest real number

M_n

such that

\frac{1}{a_1}+\frac{a_1}{a_2}+\frac{a_2}{a_3}+\dots+\frac{a_{n-1}}{a_n} \le M_n

for any

n

-tuple

(a_1,a_2,\dots,a_n)

of integers such that

1<a_1<a_2<\dots<a_n

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