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%I #9 Feb 18 2019 04:09:21
%S 1,1,1,3,18,110,705,5019,40292,362844,3628755,39916745,479001534,
%T 6227020722,87178291109,1307674367895,20922789887880,355687428095864,
%U 6402373705727847,121645100408831829,2432902008176639810,51090942171709439790,1124000727777607679769
%N a(n) = n! - n(n-1)/2.
%C Largest term in the factor partition of A114310(n).
%e a(6) = 705*A114310(6) = 84600 = 1*2*3*4*5*705.
%p a:=n->sum((n!)-j, j=0..n):a(-1):=1: seq(a(n), n=-1..21); # _Zerinvary Lajos_, May 26 2008
%t Table[n!-n(n-1)/2,{n,0,30}] (* _Harvey P. Dale_, Aug 27 2013 *)
%Y Cf. A114310.
%K nonn
%O 0,4
%A _Amarnath Murthy_, Nov 26 2005
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