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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.

A368697 Numbers that are divisible by the squares of two distinct primes and whose arithmetic derivative (A003415) is a squarefree number of the form 4k+2.

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%I A368697 #4 Jan 09 2024 16:56:31
%S A368697 11025,17325,27225,28665,29925,36225,37485,38025,40425,47025,48825,
%T A368697 49725,53361,56925,63525,63945,65025,69825,70785,74025,74529,76725,
%U A368697 81225,81585,84525,84825,88725,90405,92169,92565,92925,98325,105525,106425,108225,110925,111573,111825,113925,116325,116865,117117,119025,119925
%N A368697 Numbers that are divisible by the squares of two distinct primes and whose arithmetic derivative (A003415) is a squarefree number of the form 4k+2.
%o A368697 (PARI)
%o A368697 A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
%o A368697 A057521(n) = { my(f=factor(n)); prod(i=1, #f~, if(f[i, 2]>1, f[i, 1]^f[i, 2], 1)); };
%o A368697 isA368697(n) = if(omega(A057521(n))<2, 0, my(d=A003415(n)); ((2==(d%4))&&issquarefree(d)));
%Y A368697 Intersection of A036785 and A368696, i.e., of A036785, A327862 and A328393.
%Y A368697 Cf. A003415, A057521.
%K A368697 nonn
%O A368697 1,1
%A A368697 _Antti Karttunen_, Jan 09 2024