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.

A330729 Numbers k that are divisible by all integers less than or equal to the cube root of k.

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%I A330729 #21 Jan 21 2022 03:43:59
%S A330729 1,2,3,4,5,6,7,8,10,12,14,16,18,20,22,24,26,30,36,42,48,54,60,72,84,
%T A330729 96,108,120,180,240,300,420
%N A330729 Numbers k that are divisible by all integers less than or equal to the cube root of k.
%e A330729 42 appears because the cube root of 42 is approximately 3.48 and 42 is divisible by 3, 2, and 1 (all positive integers less than 3.48).
%t A330729 Select[Range[1000], Divisible[#, LCM @@ Range @ Floor @ Surd[#, 3]] &] (* _Amiram Eldar_, Dec 28 2019 *)
%o A330729 (Magma) [k: k in [1..500]|forall{m:m in [1..Floor(k^(1/3))]|k mod m eq 0}]; // _Marius A. Burtea_, Dec 31 2019
%o A330729 (PARI) is(k) = {my(m=sqrtnint(k, 3)); sum(i=1, m, Mod(k, i)==0) == m; } \\ _Jinyuan Wang_, Dec 31 2019
%Y A330729 Cf. A003102.
%K A330729 nonn,fini,full
%O A330729 1,2
%A A330729 _Eric Fox_, Dec 28 2019