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(Python)
from sympy import integer_nthroot
def A059921(n): return integer_nthroot(n**(n+1), n)[0] # Chai Wah Wu, Sep 04 2024
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Table[Floor[n^((n+1)/n)], {n, 80}] (* Harvey P. Dale, Jul 22 2019 *)
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Harry J. Smith, <a href="/A059921/b059921.txt">Table of n, a(n) for n = 1..1000</a>
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Infinitely many integers are missing, starting 3, 7, 18, 50, 140; their ratios tend to e. [_- _Charles R Greathouse IV_, Aug 21 2011]
a(n) = floor(n^(1+1/n)). - M. F. Hasler, Nov 03 2014
(PARI) { for (n=1, 1000, write("b059921.txt", n, " ", floor(n^((n + 1)/n))); ) } [From _\\ _Harry J. Smith_, Jun 30 2009]
(PARI) A059921(n)=n^(1+1/n)\1 \\ M. F. Hasler, Nov 03 2014
Cf. A249669.
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