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 A319163 #7 Sep 15 2018 15:47:38 %S A319163 4,8,9,16,25,27,32,49,64,81,121,125,128,144,169,243,256,289,324,343, %T A319163 361,400,512,529,576,625,729,784,841,961,1024,1331,1369,1600,1681, %U A319163 1728,1849,1936,2025,2048,2187,2197,2209,2304,2401,2500,2704,2809,2916,3125 %N A319163 Perfect powers whose prime multiplicities appear with relatively prime multiplicities. %C A319163 Perfect powers n such that A181819(n) is not a perfect power (i.e. belongs to A007916). %e A319163 The sequence of integer partitions whose Heinz numbers are in the sequence begins: (11), (111), (22), (1111), (33), (222), (11111), (44), (111111), (2222), (55), (333), (1111111), (221111), (66), (22222), (11111111), (77), (222211), (444), (88), (331111), (111111111), (99), (22111111), (3333), (222222), (441111). %t A319163 Select[Range[1000],And[GCD@@FactorInteger[#][[All,2]]>1,GCD@@Length/@Split[Sort[FactorInteger[#][[All,2]]]]==1]&] %Y A319163 Cf. A001597, A007916, A056239, A072774, A181819, A289509, A296150, A298748, A319151, A319161, A319162, A319165. %K A319163 nonn %O A319163 1,1 %A A319163 _Gus Wiseman_, Sep 12 2018