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 A327400 #4 Sep 23 2019 13:41:43 %S A327400 1,1,1,2,1,2,1,2,2,2,1,3,1,2,2,3,1,3,1,3,2,2,1,4,2,2,2,3,1,5,1,2,2,2, %T A327400 2,7,1,2,2,4,1,5,1,3,3,2,1,6,2,3,2,3,1,4,2,4,2,2,1,9,1,2,3,4,2,5,1,3, %U A327400 2,5,1,10,1,2,3,3,2,5,1,6,3,2,1,9,2,2,2 %N A327400 Number of factorizations of n that are constant or whose factors are relatively prime. %C A327400 First differs from A327399 at a(24) = 4, A327399(24) = 3. %F A327400 a(n) = A281116(n) + A089723(n). %e A327400 The factorizations of 2, 4, 12, 24, 30, 36, 48, and 60 that are constant or whose factors are relatively prime: %e A327400 2 4 12 24 30 36 48 60 %e A327400 2*2 3*4 3*8 5*6 4*9 3*16 3*20 %e A327400 2*2*3 2*3*4 2*15 6*6 2*3*8 4*15 %e A327400 2*2*2*3 3*10 2*2*9 3*4*4 5*12 %e A327400 2*3*5 2*3*6 2*2*3*4 2*5*6 %e A327400 3*3*4 2*2*2*2*3 3*4*5 %e A327400 2*2*3*3 2*2*15 %e A327400 2*3*10 %e A327400 2*2*3*5 %t A327400 facs[n_]:=If[n<=1,{{}},Join@@Table[Map[Prepend[#,d]&,Select[facs[n/d],Min@@#>=d&]],{d,Rest[Divisors[n]]}]]; %t A327400 Table[Length[Select[facs[n],#=={}||Length[Union[#]]==1||GCD@@#==1&]],{n,100}] %Y A327400 Constant factorizations are A089723. %Y A327400 Cf. A007359, A051424, A281116, A302569, A304709, A304711, A319269, A327399. %K A327400 nonn %O A327400 1,4 %A A327400 _Gus Wiseman_, Sep 22 2019