A061031 - OEIS

%I #13 Jun 18 2022 15:36:47

%S 2,3,5,9,16,35,70,150,336,770,1848,4455,10920,27648,70720,185895,

%T 496125,1344000,3706560,10395840,29568000,85299200,249356800,

%U 738840960,2216522880,6730407936,20678434920,64248260076,201838500864

%N Factorial splitting: write n! = x*y*z with x<y<z and x maximal and z is minimal; sequence gives value of y.

%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="/A061031/b061031.txt">Table of n, a(n) for n = 3..100</a>

%Y Cf. A061030, A061032, 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