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 A320732 #4 Oct 22 2018 12:42:56 %S A320732 1,1,1,2,1,2,1,2,2,2,1,3,1,2,2,3,1,3,1,3,2,2,1,4,2,2,2,3,1,4,1,3,2,2, %T A320732 2,6,1,2,2,4,1,4,1,3,3,2,1,5,2,3,2,3,1,4,2,4,2,2,1,7,1,2,3,4,2,4,1,3, %U A320732 2,4,1,7,1,2,3,3,2,4,1,5,3,2,1,7,2,2,2 %N A320732 Number of factorizations of n into primes or semiprimes. %e A320732 The a(60) = 5 factorizations are (2*2*3*5), (2*2*15), (2*3*10), (2*5*6), (3*4*5), (4*15), (6*10). %t A320732 psemfacs[n_]:=If[n<=1,{{}},Join@@Table[Map[Prepend[#,d]&,Select[psemfacs[n/d],Min@@#>=d&]],{d,Select[Rest[Divisors[n]],PrimeOmega[#]<=2&]}]]; %t A320732 Table[Length[psemfacs[n]],{n,100}] %Y A320732 Cf. A001055, A001222, A001358, A007716, A007717, A037143, A045778, A320663, A320655. %K A320732 nonn %O A320732 1,4 %A A320732 _Gus Wiseman_, Oct 20 2018