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.

A084694 Squarefree numbers which are products of three consecutive numbers. I.e., squarefree numbers of the form k^3 - k.

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%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