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.
%I A155013 #26 Aug 08 2025 12:10:41
%S A155013 1,5,15,32,55,88,129,181,243,316,401,498,609,733,871,1024,1191,1374,
%T A155013 1573,1788,2020,2270,2536,2821,3125,3446,3787,4148,4528,4929,5350,
%U A155013 5792,6255,6740,7247,7776,8327,8901,9498,10119,10763,11432,12124,12841,13584,14351
%N A155013 Integer part of square root of n^5 = A000584(n).
%H A155013 Harvey P. Dale, <a href="/A155013/b155013.txt">Table of n, a(n) for n = 1..1000</a>
%F A155013 a(n) = floor(n^2 * sqrt(n)). - _Davide Rotondo_, Dec 01 2024
%t A155013 a={};Do[AppendTo[a,IntegerPart[(n^5)^(1/2)]],{n,5!}];a
%t A155013 IntegerPart[Sqrt[Range[50]^5]] (* _Harvey P. Dale_, May 14 2012 *)
%t A155013 Table[Floor[Sqrt[n^5]], {n,1,30}] (* _G. C. Greubel_, Dec 30 2017 *)
%o A155013 (PARI) for(n=1,30, print1(sqrtint(n^5), ", ")) \\ _G. C. Greubel_, Dec 30 2017
%o A155013 (Magma) [Floor(Sqrt(n^5)): n in [1..30]]; // _G. C. Greubel_, Dec 30 2017
%o A155013 (Python)
%o A155013 from math import isqrt
%o A155013 def A155013(n): return isqrt(n**5) # _Chai Wah Wu_, Aug 08 2025
%Y A155013 Cf. A000093.
%Y A155013 Integer part of square root of n^k: A000196 (k=1), A000093 (k=3), this sequence (k=5), A155014 (k=7), A155015 (k=11), A155016 (k=13), A155018 (k=15), A155019 (k=17),
%K A155013 nonn
%O A155013 1,2
%A A155013 _Vladimir Joseph Stephan Orlovsky_, Jan 19 2009