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.
%I A084694 #15 Feb 25 2021 08:30:33 %S A084694 6,210,2730,10626,26970,39270,54834,74046,195054,287430,342930,474474, %T A084694 635970,830490,1061106,1190910,1330890,1481430,2196870,2627934, %U A084694 2863146,3944154,4574130,5639574,6028386,6434670,7301190,8242206,9260790 %N A084694 Squarefree numbers which are products of three consecutive numbers. I.e., squarefree numbers of the form k^3 - k. %C A084694 No product of 4 consecutive numbers is squarefree. %H A084694 Amiram Eldar, <a href="/A084694/b084694.txt">Table of n, a(n) for n = 1..10000</a> %F A084694 a(n) = A007531(A007675(n)+2). - _Amiram Eldar_, Feb 25 2021 %t A084694 f[n_] := n*(n + 1)*(n + 2); f /@ Select[Range[250], AllTrue[# + {0, 1, 2}, SquareFreeQ] &] (* _Amiram Eldar_, Feb 25 2021 *) %o A084694 (PARI) lista(nn) = {for (k=1, nn, if (issquarefree(x=k^3-k), print1(x, ", ")););} \\ _Michel Marcus_, Jul 29 2017 %Y A084694 Cf. A005117, A007531, A007675. %K A084694 nonn %O A084694 1,1 %A A084694 _Amarnath Murthy_, Jun 04 2003 %E A084694 Offset corrected to 1 by _Michel Marcus_, Jul 29 2017