login
Factorial splitting: write n! = x*y*z with x<y<z and x maximal and z is minimal; sequence gives value of z-x.
13

%I #9 Apr 10 2022 00:44:02

%S 2,2,2,2,6,4,17,24,30,42,72,112,288,420,720,1568,1920,3512,16560,

%T 19686,16028,71280,182160,184320,552960,2925648,4885160,12241152,

%U 40191471,71559680,77631750,217165824,604653336,368858880

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

%D Luc Kumps, personal communication.

%H Max Alekseyev, <a href="/A061033/b061033.txt">Table of n, a(n) for n = 3..100</a>

%Y Cf. A061030 - A061032.

%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, terms a(32) onward added by _Max Alekseyev_, Apr 10 2022