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.

A330974 Least positive integer with n factorizations into distinct factors > 1, and 0 if no such number exists.

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%I A330974 #8 Jul 07 2021 09:26:34
%S A330974 1,6,12,64,24,256,48,512,60,96,0,2048,0,144,210,120,216,180,384,0,288,
%T A330974 16384,0,0,240,0,432,0,0,0,420,65536,1536,360,0,0,0,480,0,900,0,864,
%U A330974 3072,1152,0,1296,0,0,0,0,0,2310,0,524288,6144,960,720,0,840,0,2304
%N A330974 Least positive integer with n factorizations into distinct factors > 1, and 0 if no such number exists.
%t A330974 nn=10;
%t A330974 fam[n_]:=fam[n]=If[n<=1,{{}},Join@@Table[Map[Prepend[#,d]&,Select[fam[n/d],Min@@#>=d&]],{d,Rest[Divisors[n]]}]];
%t A330974 nds=Length/@Array[Select[fam[#],UnsameQ@@#&]&,2^nn];
%t A330974 Table[If[#=={},0,#[[1,1]]]&[Position[nds,i]],{i,nn}]
%Y A330974 All nonzero terms belong to A025487.
%Y A330974 Strict factorizations are A045778, with image A045779.
%Y A330974 The version with zeros removed is A045780.
%Y A330974 The non-strict version is A330973.
%Y A330974 Positions of zeros are A330975.
%Y A330974 The sorted version is A330997.
%Y A330974 Cf. A001055, A001222, A033833, A045782, A045783, A318286, A328966, A330972.
%K A330974 nonn
%O A330974 1,2
%A A330974 _Gus Wiseman_, Jan 06 2020
%E A330974 More terms from _Jinyuan Wang_, Jul 07 2021