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.

A077121 Number of integer squares <= n^3.

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%I A077121 #19 Apr 06 2025 08:45:41
%S A077121 1,2,3,6,9,12,15,19,23,28,32,37,42,47,53,59,65,71,77,83,90,97,104,111,
%T A077121 118,126,133,141,149,157,165,173,182,190,199,208,217,226,235,244,253,
%U A077121 263,273,282,292,302,312,323,333,344,354,365,375,386,397,408,420
%N A077121 Number of integer squares <= n^3.
%C A077121 a(n) = number of terms in n-th row of A167222. - _Reinhard Zumkeller_, Oct 31 2009
%H A077121 Amiram Eldar, <a href="/A077121/b077121.txt">Table of n, a(n) for n = 0..10000</a>
%F A077121 a(n) = floor(n^(3/2))+1 = A000093(n) + 1.
%e A077121 Squares <= 3^3 = 27: 0, 1, 4, 9, 16 and 25, hence a(3) = 6.
%t A077121 a[n_] := Floor[Sqrt[n^3]] + 1; Array[a, 100, 0] (* _Amiram Eldar_, Apr 06 2025 *)
%o A077121 (Python)
%o A077121 from math import isqrt
%o A077121 def A077121(n): return isqrt(n**3)+1 # _Chai Wah Wu_, Sep 08 2024
%Y A077121 Cf. A000093, A065733, A077113, A167222, A167223.
%K A077121 nonn,easy
%O A077121 0,2
%A A077121 _Reinhard Zumkeller_, Oct 29 2002