%I #42 Jun 28 2024 22:24:54
%S 521457,7235406,107647749,123718516,161881498,200141522,215640361,
%T 269177896,301917955,352021648,393455227,580398355,716403116,
%U 916268861,1000979331,1231997208,1289093896,1354550305,1471667483,1478187348,1485031638,1520586133
%N Numbers j such that k=210*j, 2*k, k^2+k, k^2-k all are averages of twin primes.
%C A derivative sequence stemming from editorial discussion with _Hugo Pfoertner_, consisting of GCD-reduced elements of A363500, all of which were determined to be multiples of 210 aside from the first term.
%H Jason Yuen, <a href="/A364263/b364263.txt">Table of n, a(n) for n = 1..9999</a> (first 48 terms from Bryce Case, Jr.)
%H Bryce Case, Jr., <a href="/A364263/a364263.txt">a364263.go</a>
%F a(n) = A363500(n+1)/210. - _Jason Yuen_, Jun 04 2024
%o (Go) // See link.
%Y Cf. A363500.
%K nonn
%O 1,1
%A _Bryce Case, Jr._ and _Antonio Gimenez_, Jul 16 2023