login
Partial sums of floor(n!/e^n).
0

%I #7 May 15 2023 15:42:33

%S 0,0,0,0,0,1,5,18,62,226,892,3835,17910,90401,490421,2844970,17570207,

%T 115078228,796630963,5811215750,44551231383,358087648032,

%U 3010990488143,26433752431402,241852566790848,2302304545944415,22768248457537798,233580248716343376

%N Partial sums of floor(n!/e^n).

%F a(n) = Sum_{i=1..n} floor(i!/exp(i)).

%t Accumulate[Table[Floor[n!/Exp[n]],{n,30}]] (* _Harvey P. Dale_, Aug 25 2016 *)

%Y Cf. A000142, A055775.

%K easy,nonn

%O 1,7

%A _Jonathan Vos Post_, Aug 08 2006

%E Corrected by and incorrect examples removed by _Harvey P. Dale_, Aug 25 2016