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%I #7 Sep 21 2013 07:28:56
%S 6,2850,79800,2162160,134734320,15518903400,174626020800,
%T 19794628854000,659394533191680,659394533191680,659394533191680,
%U 38022361747469489295360
%N Least hexagonal number that is the product of n hexagonal numbers greater than 1.
%H Lars Blomberg, <a href="/A225066/a225066.txt">Table of n, a(n) with solutions for n=1..12</a>
%e Let hex(n) = n*(2n-1). Then
%e a(1) = 6 = hex(2).
%e a(2) = 2850 = hex(38) = hex(3) * hex(10).
%e a(3) = 79800 = hex(200) = hex(3) * hex(4) * hex(10).
%e a(4) = 2162160 = hex(1040) = hex(2)^2 * hex(4) * hex(33).
%e a(5) = 134734320 = hex(8208) = hex(2)^2 * hex(3) * hex(4) * hex(67).
%e a(6) = 15518903400 = hex(88088) = hex(2) * hex(3) * hex(6)^2 * hex(7) * hex(15).
%Y Cf. A000384 (hexagonal numbers).
%Y Cf. A212616, A212617, A225066-A225070 (3-, 5- to 10-gonal cases).
%K nonn,more
%O 1,1
%A _T. D. Noe_, May 01 2013
%E Corrected a(6) and added a(7)-a(12) by _Lars Blomberg_, Sep 21 2013
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