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%I #18 Feb 26 2022 15:53:01
%S 1,2,0,30,3135,3570,72930,1231230,14804790,497668710,14908423530,
%T 278196808890,12192694624110,550939666387110,21275256232500270,
%U 1458502323630662310,87988283090327810190,3254611619240885033130,261462818462495728868790,9965666894849284108299810,557940830126698960967415390,90544636506979071680577724410
%N Smallest squarefree number k with exactly n prime factors such that the sum of the prime factors is divisible by the largest prime dividing k, or 0 if no such k exists.
%C No solution exists for n=2, so a(2)=0.
%F A008472(k)/A006530(k) is an integer; k is squarefree and has exactly n prime factors.
%e a(0) = 1 = 1;
%e a(1) = 2 = 2;
%e a(3) = 30 = 2 * 3 * 5;
%e a(4) = 3135 = 3 * 5 * 11 * 19;
%e a(5) = 3570 = 2 * 3 * 5 * 7 * 17;
%e a(6) = 72930 = 2 * 3 * 5 * 11 * 13 * 17;
%e a(7) = 1231230 = 2 * 3 * 5 * 7 * 11 * 13 * 41.
%Y Cf. A008472, A006530, A000961, A025475, A037074, A071139-A071146.
%K nonn
%O 0,2
%A _Labos Elemer_, May 13 2002
%E Corrected and extended by _Donovan Johnson_, Apr 22 2008
%E Name corrected by _Jon E. Schoenfield_, Jul 08 2018
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