cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A075364 #20 Jun 08 2025 15:18:19
%S A075364 1,2,9,32,125,529,2401,11585,59049,316227,1771561,10343751,62748517,
%T A075364 394421215,2562890625,17179869184,118587876497,841567195983,
%U A075364 6131066257801,45794672179195,350277500542221,2740695769692949
%N A075364 a(n) = floor( geometric mean of n-th row of A075363).
%H A075364 G. C. Greubel, <a href="/A075364/b075364.txt">Table of n, a(n) for n = 1..500</a> (terms 1..100 from Vincenzo Librandi)
%F A075364 a(n) = floor(n^((n+1)/2)).
%t A075364 Table[Floor[n^((n + 1)/2)], {n,1,50}] (* _G. C. Greubel_, Dec 30 2017 *)
%o A075364 (Magma) [Floor(n^((n+1)/2)): n in [1..30]]; // _Vincenzo Librandi_, May 07 2011
%o A075364 (PARI) for(n=1, 30, print1(floor(n^((n+1)/2)), ", ")) \\ _G. C. Greubel_, Dec 30 2017
%o A075364 (Python)
%o A075364 from math import isqrt
%o A075364 def A075364(n): return isqrt(n**(n+1)) # _Chai Wah Wu_, Jun 08 2025
%Y A075364 Cf. A075363, A147771, A190343.
%K A075364 nonn
%O A075364 1,2
%A A075364 _Amarnath Murthy_, Sep 20 2002
%E A075364 More terms from _Sascha Kurz_, Jan 12 2003