Values of n for which Integer Solutions to n = x^3 + y^3 + 2 z^3 are Unknown/Historical Note

Historical Note on Values of $n$ for which Integer Solutions to $n = x^3 + y^3 + 2 z^3$ are Unknown
reports that the given list of positive integers are the only ones known under $1000$.

The author of this webpage has been unable to determine whether this statement is still accurate.