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%I #7 Aug 03 2014 14:01:34
%S 0,0,0,4,0,0,24,36,24,36,24,36,48,0,36,24,36,48,0,48,7560,10080,7560,
%T 7560,48,10080,7560,7560,48,7560,10080,7560,7560,20160,10080,7560,
%U 25200,7560,48,7560,10080,7560,7560,20160,10080,7560,25200,10080,7560,25200
%N Smallest highly composite number that is not a divisor of n-th highly composite number or 0 if no such number exists.
%C a(19) is the last 0 in this sequence
%e a(4) = 4 because 6, the fourth highly composite number, is a multiple of 1 and 2 but not of 4. a(5) = 0 because 12 is a multiple of all of 1, 2, 4, 6, and 12.
%t (* let hc contain consecutive highly composite numbers starting with 1 *) Table[i = 1; While[i < n && Mod[hc[[n]], hc[[i]]] == 0, i++]; If[i == n, 0, hc[[i]]], {n, Length[hc]}] (* _T. D. Noe_, Sep 30 2011 *)
%Y Cf A002182.
%K nonn
%O 1,4
%A _J. Lowell_, Sep 30 2011
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