A075364 a(n) = floor( geometric mean of n-th row of A075363).

1, 2, 9, 32, 125, 529, 2401, 11585, 59049, 316227, 1771561, 10343751, 62748517, 394421215, 2562890625, 17179869184, 118587876497, 841567195983, 6131066257801, 45794672179195, 350277500542221, 2740695769692949

Offset: 1

Author

Amarnath Murthy, Sep 20 2002

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 1..500 (terms 1..100 from Vincenzo Librandi)

Crossrefs

Cf. A075363, A147771, A190343.

Programs

Magma

[Floor(n^((n+1)/2)): n in [1..30]]; // Vincenzo Librandi, May 07 2011

Mathematica

Table[Floor[n^((n + 1)/2)], {n,1,50}] (* G. C. Greubel, Dec 30 2017 *)

PARI

for(n=1, 30, print1(floor(n^((n+1)/2)), ", ")) \\ G. C. Greubel, Dec 30 2017

Python

from math import isqrt
def A075364(n): return isqrt(n**(n+1)) # Chai Wah Wu, Jun 08 2025

Formula

a(n) = floor(n^((n+1)/2)).

Extensions

More terms from Sascha Kurz, Jan 12 2003