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.

A077106 Largest integer cube <= n^2.

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%I A077106 #12 Apr 06 2025 08:45:59
%S A077106 0,1,1,8,8,8,27,27,64,64,64,64,125,125,125,216,216,216,216,343,343,
%T A077106 343,343,512,512,512,512,729,729,729,729,729,1000,1000,1000,1000,1000,
%U A077106 1331,1331,1331,1331,1331,1728,1728,1728,1728,1728,2197,2197
%N A077106 Largest integer cube <= n^2.
%H A077106 Amiram Eldar, <a href="/A077106/b077106.txt">Table of n, a(n) for n = 0..10000</a>
%F A077106 a(n) + A075847(n) = n^2.
%F A077106 a(n) = A100196(n)^3. - _Amiram Eldar_, Apr 06 2025
%e A077106 a(20) = 343, as 343 = 7^3 is the largest cube <= 400 = 20^2.
%t A077106 a[n_] := Floor[Surd[n^2, 3]]^3; Array[a, 100, 0] (* _Amiram Eldar_, Apr 05 2025 *)
%Y A077106 Cf. A000578, A000290, A065733, A075847, A077107, A077110, A077113.
%K A077106 nonn,easy
%O A077106 0,4
%A A077106 _Reinhard Zumkeller_, Oct 29 2002