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 A356382 #42 Aug 08 2022 09:15:13
%S A356382 2,4,8,16,32,36,50,64,98,100,128,144,242,256,324,338,392,400,484,512,
%T A356382 576,578,676,722,784,800,900,968,1024,1058,1156,1250,1296,1352,1444,
%U A356382 1600,1682,1922,1936,2048,2116,2304,2312,2450,2500,2704,2738,2888,2916,3136,3362,3364
%N A356382 Even terms in A014567.
%C A356382 Even numbers k such that k and sigma(k) are coprime, sigma = A000203.
%C A356382 Each term is an even square or twice a square.
%C A356382 No term can be of the form 18*k^2 since sigma(m) is divisible by 3 if m is twice a square (cf. A065766).
%H A356382 Jianing Song, <a href="/A356382/b356382.txt">Table of n, a(n) for n = 1..7575</a> (all terms <= 10^8)
%e A356382 3362 is a term since 3362 and sigma(3362) = 5169 are coprime.
%e A356382 3364 is a term since 3364 and sigma(3364) = 6097 are coprime.
%o A356382 (PARI) isA356382(n) = !(n%2) && gcd(n, sigma(n))==1
%Y A356382 Cf. A014567, A000203, A065766.
%Y A356382 Subsequence of A088827. Includes A000079 as a subsequence.
%Y A356382 Equals {A356448(n)^2} U {2*A356449(n)^2} = {2*A356449(n)^2} U {4*A356451(n)^2}.
%K A356382 nonn,easy
%O A356382 1,1
%A A356382 _Jianing Song_, Aug 07 2022