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 A303140 #4 Apr 21 2018 20:58:00
%S A303140 0,0,0,0,0,0,1,0,2,2,4,2,8,7,14,14,21,18,33,32,50,54,72,67,103,110,
%T A303140 145,155,201,196,271,293,372,400,493,512,647,704,858,924,1115,1167,
%U A303140 1436,1560,1854,2022,2368,2510,3005,3255,3804,4144,4792,5116,5989,6514,7486
%N A303140 Number of strict integer partitions of n with at least two but not all parts having a common divisor greater than 1.
%e A303140 The a(14) = 7 partitions are (932), (8321), (7421), (653), (6521), (6431), (5432).
%t A303140 Table[Select[IntegerPartitions[n],UnsameQ@@#&&!CoprimeQ@@#&&GCD@@#===1&]//Length,{n,20}]
%Y A303140 Cf. A000837, A018783, A051424, A078374, A168532, A289508, A289509, A298748, A300486, A302569, A302696, A302796, A303138, A303139.
%K A303140 nonn
%O A303140 1,9
%A A303140 _Gus Wiseman_, Apr 19 2018