Some open problems in mathematics boil down to the question of defining the $n$-th term of a certain sequence for a specific $n$. For instance, the value of the $5$-th diagonal Ramsey number and the $10$-th Dedekind number are unknown. I would be grateful if you could provide other examples of such sequences and the smallest $n$ for which the values of these sequences are not determined.
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2$\begingroup$ One example I think of is Kissing Number en.wikipedia.org/wiki/Kissing_number $\endgroup$– Vezen BUCommented Jun 14 at 8:10
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1$\begingroup$ Another one is Van der Waerden numbers : en.wikipedia.org/wiki/Van_der_Waerden_number $\endgroup$– Kolakoski54Commented Jun 14 at 8:11
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4$\begingroup$ A good way to find such sequences is to check the OEIS: sequences with the keywords more, hard and bref can give you great examples! $\endgroup$– Kolakoski54Commented Jun 14 at 8:16
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2$\begingroup$ The On-Line Encyclopedia of Integer Sequences (OEIS) has several thousand sequences with the keywords "hard" and "more" $\endgroup$– HenryCommented Jun 14 at 8:16
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