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.

A077115 Least integer square >= n^3.

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%I A077115 #24 May 17 2025 05:37:35
%S A077115 0,1,9,36,64,144,225,361,529,729,1024,1369,1764,2209,2809,3481,4096,
%T A077115 5041,5929,6889,8100,9409,10816,12321,13924,15625,17689,19881,22201,
%U A077115 24649,27225,29929,33124,36100,39601,43264,46656,51076,55225,59536
%N A077115 Least integer square >= n^3.
%F A077115 a(n) - A070929(n) = n^3.
%F A077115 a(n) = ceiling(n^(3/2))^2. - _Benoit Cloitre_, Nov 01 2002
%F A077115 a(n) = A185549(n)^2. - _Amiram Eldar_, May 17 2025
%F A077115 a(n) = A048761(n^3). - _Michel Marcus_, May 17 2025
%e A077115 a(10) = 1024, as 1024 = 32^2 is the least square >= 1000 = 10^3.
%t A077115 lis[n_]:=Module[{c=Sqrt[n^3]},If[IntegerQ[c],c^2,(Floor[c]+1)^2]]; Array[lis,40,0] (* _Harvey P. Dale_, Jan 22 2013 *)
%o A077115 (Magma) [Ceiling(n^(3/2))^2: n in [0..50]]; // _Vincenzo Librandi_, Feb 17 2015
%Y A077115 Cf. A000290, A000578, A048761, A065733, A077107, A077118, A185549.
%K A077115 nonn,easy
%O A077115 0,3
%A A077115 _Reinhard Zumkeller_, Oct 29 2002