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a(n) = floor(log(n)*exp(n)).
1

%I #12 Sep 20 2020 13:35:14

%S 0,5,22,75,238,722,2133,6198,17804,50717,143571,404430,1134767,

%T 3173741,8852663,24637529,68436134,189781720,525530244,1453425033,

%U 4015164094,11081117798,30554774841,84183856047,231774829749,637705962868

%N a(n) = floor(log(n)*exp(n)).

%H Harry J. Smith, <a href="/A058750/b058750.txt">Table of n, a(n) for n = 1..200</a>

%t Table[Floor[Log[n]Exp[n]],{n,30}] (* _Harvey P. Dale_, Sep 20 2020 *)

%o (PARI) default(realprecision, 1000); for (n=1, 200, write("b058750.txt", n, " ", floor(log(n)*exp(n)))); \\ _Harry J. Smith_, Jun 23 2009

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jan 01 2001