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(n-1)!*(n!-n*(n-1)/2).
1

%I #4 May 15 2021 20:00:58

%S 1,1,6,108,2640,84600,3613680,203071680,14629870080,1316802614400,

%T 144849884256000,19120208432371200,2982752889071155200,

%U 542861032044198067200,114000816839126241024000,27360196043430269859840000,7441973323852870393823232000,2277243837099794643157389312000

%N (n-1)!*(n!-n*(n-1)/2).

%C Least product of n distinct numbers whose sum is n!.

%e a(6) = 84600 = 1*2*3*4*5*705, the sum 1+2+3+4+5+705 = 720 = 6!.

%t Table[(n-1)!(n!-(n(n-1))/2),{n,20}] (* _Harvey P. Dale_, May 15 2021 *)

%Y Cf. A114311.

%K nonn

%O 1,3

%A _Amarnath Murthy_, Nov 26 2005