cp's OEIS Frontend

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.

A322075 Number of factorizations of n into nonprime squarefree numbers > 1.

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%I A322075 #9 Nov 27 2018 03:11:02
%S A322075 1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,
%T A322075 1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,
%U A322075 1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1
%N A322075 Number of factorizations of n into nonprime squarefree numbers > 1.
%C A322075 First term greater than 1 is a(210) = 4.
%H A322075 G. C. Greubel, <a href="/A322075/b322075.txt">Table of n, a(n) for n = 1..10000</a>
%e A322075 The a(420) = 3 factorizations: (6*70), (10*42), (14*30).
%t A322075 sqnopfacs[n_]:=If[n<=1,{{}},Join@@Table[Map[Prepend[#,d]&,Select[sqnopfacs[n/d],Min@@#>=d&]],{d,Select[Rest[Divisors[n]],!PrimeQ[#]&&SquareFreeQ[#]&]}]]
%t A322075 Table[Length[sqnopfacs[n]],{n,100}]
%Y A322075 Cf. A000469, A001055, A001221, A001222, A005117, A007716, A318871, A318953, A320655, A320656, A320658, A320659.
%K A322075 nonn
%O A322075 1,210
%A A322075 _Gus Wiseman_, Nov 25 2018