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 A357494 #5 Oct 01 2022 19:29:57
%S A357494 902880,1534680,361674720,767685600,4530770640,4941414720,5405788800,
%T A357494 5517818880,16993944000,20429240832,94820077440
%N A357494 Numbers k such that s(k) = 4*k, where s(k) is the sum of divisors of k that have a square factor (A162296).
%C A357494 Analogous to 4-perfect numbers (A027687) with nonsquarefree divisors.
%C A357494 Equivalently, numbers k such that A325314(k) = -3*k.
%C A357494 There are no numbers k below 10^11 such that A162296(k) = m*k for integers m > 4.
%e A357494 902880 is a term since A162296(902880) = 3611520 = 4*902880.
%t A357494 q[n_] := Module[{f = FactorInteger[n], p, e}, p = f[[;; , 1]]; e = f[[;; , 2]]; Times @@ ((p^(e + 1) - 1)/(p - 1)) - Times @@ (p + 1) == 4*n]; Select[Range[2, 2*10^6], q]
%Y A357494 Cf. A162296, A325314.
%Y A357494 Subsequence of A013929 and A023198.
%Y A357494 Numbers k such that A162296(k) = m*k: A005117 (m=0), A001248 (m=1), A322609 (m=2), A357493 (m=3), this sequence (m=4).
%Y A357494 Similar sequence: A027687.
%K A357494 nonn,more
%O A357494 1,1
%A A357494 _Amiram Eldar_, Oct 01 2022