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 A368682 #7 Jan 03 2024 03:37:27
%S A368682 36,144,216,576,900,1296,1728,2304,3600,5184,7776,9216,13824,14400,
%T A368682 20736,27000,32400,36864,44100,46656,57600,82944,110592,129600,147456,
%U A368682 176400,186624,216000,230400,248832,279936,331776,373248,518400,589824,705600,746496,810000
%N A368682 Products of primorials that are perfect powers but not prime powers.
%C A368682 Intersection of A025487 and A131605.
%C A368682 Proper subset of A286708.
%C A368682 Contains A365308 (perfect powers of composite primorials) and A368508 (perfect powers of composite superprimorials).
%C A368682 These numbers are perfect powers of some smaller product of primorials.
%H A368682 Michael De Vlieger, <a href="/A368682/b368682.txt">Table of n, a(n) for n = 1..10000</a>
%F A368682 This sequence is { A368681 \ A000079 }.
%e A368682 b(n) = A025487(n).
%e A368682 a(1) = b(11) = 36 = 6^2 = b(4)^2,
%e A368682 a(2) = b(19) = 144 = 12^2 = b(6)^2,
%e A368682 a(3) = b(23) = 216 = 6^3 = b(4)^3,
%e A368682 a(4) = b(33) = 576 = 24^2 = b(8)^2,
%e A368682 a(5) = b(38) = 900 = 30^2 = b(9)^2, etc.
%t A368682 Select[Range[36, 2^18, 2], And[Union@ Differences@ PrimePi@ #1 == {1}, AllTrue[Union@ Differences@ #2, # <= 0 &], GCD @@ #2 > 1] & @@ Transpose@ FactorInteger[#] &]
%Y A368682 Cf. A000079, A000961, A001597, A002110, A025487, A131605, A286708, A365308, A368508, A368681.
%K A368682 nonn
%O A368682 1,1
%A A368682 _Michael De Vlieger_, Jan 02 2024