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%I #10 Jun 18 2022 15:37:22
%S 3,4,6,10,21,36,81,168,360,810,1872,4480,11088,27720,71280,186368,
%T 496128,1347192,3720960,10407936,29576988,85322160,249500160,
%U 738904320,2216712960,6732000000,20680540160,64260000000,201860859375
%N Factorial splitting: write n! = x*y*z with x<y<z and x maximal and z is minimal; sequence gives value of z.
%C We first maximize x and then minimize z, which may be different from doing the opposite way around. For example, 7! = 15*16*21 = 14*18*20 is the case when absolute maximum of x (=15) and absolute minimum of z (=20) cannot be achieved together. - _Max Alekseyev_, Jun 18 2022
%D Luc Kumps, personal communication.
%H Max Alekseyev, <a href="/A061032/b061032.txt">Table of n, a(n) for n = 3..100</a>
%Y Cf. A061030, A061031, A061033, A060776, A060777, A060795, A060796, A200743, A200744.
%K nonn
%O 3,1
%A _Ed Pegg Jr_, May 25 2001
%E a(10) and a(11) corrected and a(14)-a(31) from _Donovan Johnson_, May 11 2010
%E Definition and a(14), a(18), a(24) are corrected by _Max Alekseyev_, Apr 10 2022
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