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a(1)=1, a(n) = n*(Sum_{k=1..n-1} a(k)) - 2.
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%I #18 Jul 04 2024 21:01:33

%S 1,0,1,6,38,274,2238,20462,207178,2301978,27853934,364633318,

%T 5135252562,77423807858,1244311197718,21236244441054,383579665216538,

%U 7310577148832842,146617686151591998,3086688129507199958,68061473255633759074,1568654907415559018658

%N a(1)=1, a(n) = n*(Sum_{k=1..n-1} a(k)) - 2.

%F a(n) = floor(n*(11/2 - 2*e)*n!) for n >= 2.

%F a(n) = (n+2)*a(n-1) - (n-1)*a(n-2), n>3. - _Gary Detlefs_, Jun 30 2024

%t Join[{1},Table[Floor[n(11/2-2E)n!],{n,2,20}]] (* _Harvey P. Dale_, May 09 2013 *)

%Y Cf. A007808, A074143.

%K nonn

%O 1,4

%A _Benoit Cloitre_, Apr 24 2003

%E Offset changed to 1 by _Georg Fischer_, May 15 2024