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Nearest integer to (n/e)^n.
1

%I #14 Sep 08 2022 08:44:40

%S 0,1,1,5,21,116,751,5628,47811,453999,4765190,54782415,684597510,

%T 9239952802,133952757201,2075907567336,34247231626810,599244998013964,

%U 11084682598687313,216127622080213321

%N Nearest integer to (n/e)^n.

%H G. C. Greubel, <a href="/A015558/b015558.txt">Table of n, a(n) for n = 1..445</a>

%p Digits := 64:f := n->round(evalf((n/E)^n));

%t Table[Round[(n/E)^n],{n,20}] (* _Harvey P. Dale_, May 06 2013 *)

%o (PARI) for(n=1,20, print1(round(n^n*exp(-n)), ", ")) \\ _G. C. Greubel_, Dec 30 2017

%o (Magma) [Round(n^n*Exp(-n)): n in [1..30]]; // _G. C. Greubel_, Dec 30 2017

%K nonn

%O 1,4

%A _Simon Plouffe_