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Integer part of square root of n^15 = A010803(n).
6

%I #13 Sep 08 2022 08:45:40

%S 0,1,181,3787,32768,174692,685700,2178889,5931641,14348907,31622776,

%T 64631634,124125023,226242995,394421215,661735513,1073741824,

%U 1691869691,2597429617,3896296578,5724334022,8253624572,11699575548,16328969210

%N Integer part of square root of n^15 = A010803(n).

%H Alois P. Heinz, <a href="/A155018/b155018.txt">Table of n, a(n) for n = 0..1000</a>

%t a={};Do[AppendTo[a,IntegerPart[(n^15)^(1/2)]],{n,0,5!}];a

%t Table[Floor[Sqrt[n^15]], {n,1,30}] (* _G. C. Greubel_, Dec 30 2017 *)

%o (PARI) for(n=1,30, print1(floor(sqrt(n^15)), ", ")) \\ _G. C. Greubel_, Dec 30 2017

%o (Magma) [Floor(Sqrt(n^15)): n in [1..30]]; // _G. C. Greubel_, Dec 30 2017

%Y Integer part of square root of n^k: A000196 (k=1), A000093 (k=3), A155013 (k=5), A155014 (k=7), A155015 (k=11), A155016 (k=13), this sequence (k=15), A155019 (k=17).

%K nonn

%O 0,3

%A _Vladimir Joseph Stephan Orlovsky_, Jan 19 2009

%E Offset corrected by _Alois P. Heinz_, Sep 27 2014