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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A061031 Factorial splitting: write n! = x*y*z with x and x maximal and z is minimal; sequence gives value of y.

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%I A061031 #13 Jun 18 2022 15:36:47
%S A061031 2,3,5,9,16,35,70,150,336,770,1848,4455,10920,27648,70720,185895,
%T A061031 496125,1344000,3706560,10395840,29568000,85299200,249356800,
%U A061031 738840960,2216522880,6730407936,20678434920,64248260076,201838500864
%N A061031 Factorial splitting: write n! = x*y*z with x<y<z and x maximal and z is minimal; sequence gives value of y.
%C A061031 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 A061031 Luc Kumps, personal communication.
%H A061031 Max Alekseyev, <a href="/A061031/b061031.txt">Table of n, a(n) for n = 3..100</a>
%Y A061031 Cf. A061030, A061032, A061033, A060776, A060777, A060795, A060796, A200743, A200744.
%K A061031 nonn
%O A061031 3,1
%A A061031 _Ed Pegg Jr_, May 25 2001
%E A061031 a(10) and a(11) corrected and a(14)-a(31) from _Donovan Johnson_, May 11 2010
%E A061031 Definition and a(14), a(18), a(24) are corrected by _Max Alekseyev_, Apr 10 2022