A190343 a(n) = floor(n^((n-1)/2)).

1, 1, 3, 8, 25, 88, 343, 1448, 6561, 31622, 161051, 861979, 4826809, 28172943, 170859375, 1073741824, 6975757441, 46753733110, 322687697779, 2289733608959, 16679880978201, 124577080440588, 952809757913927, 7454684703958210, 59604644775390625, 486594112179717592

Offset: 1

Author

Bruno Berselli, May 12 2011

Keywords

• nonn

Examples

			a(6) = 88 = floor(6^(5/2)).
		

Links

• Bruno Berselli, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A066642, A075364.

Programs

Magma

[Floor(n^((n-1)/2)): n in [1..24]];

Mathematica

Table[Floor[n^((n - 1)/2)], {n, 40}] (* Vincenzo Librandi, Mar 26 2013 *)

PARI

for(n=1,20, print1(floor(n^((n-1)/2)), ", ")) \\ G. C. Greubel, Dec 30 2017

Python

from math import isqrt
def A190343(n): return isqrt(n**(n-1)) # Chai Wah Wu, Jun 08 2025