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 A303282 #8 Apr 21 2018 20:58:17
%S A303282 18,36,42,45,50,54,72,75,78,84,90,98,99,100,105,108,114,126,130,135,
%T A303282 144,150,153,156,162,168,174,175,180,182,195,196,198,200,207,210,216,
%U A303282 222,225,228,230,231,234,242,245,250,252,258,260,266,270,275,279,285,288
%N A303282 Numbers whose prime indices have no common divisor other than 1 but are not pairwise coprime.
%C A303282 A prime index of n is a number m such that prime(m) divides n. Two or more numbers are coprime if no pair of them has a common divisor other than 1.
%C A303282 The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
%e A303282 The sequence of integer partitions whose Heinz numbers belong to this sequence begins (221), (2211), (421), (322), (331), (2221), (22111), (332), (621), (4211), (3221), (441), (522), (3311), (432), (22211).
%t A303282 primeMS[n_]:=If[n===1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]];
%t A303282 Select[Range[400],!CoprimeQ@@primeMS[#]&&GCD@@primeMS[#]===1&]
%Y A303282 Cf. A000837, A001222, A018783, A051424, A056239, A078374, A168532, A289508, A289509, A296150, A298748, A300486, A302569, A302696, A302796, A303138, A303139, A303140, A303283.
%K A303282 nonn
%O A303282 1,1
%A A303282 _Gus Wiseman_, Apr 20 2018