A187079 - OEIS

%I #36 Sep 08 2022 08:45:56

%S 3,1,4,1,5,9,9,0,0,9,4,5,1,7,6,4,7,3,8,1,2,5,3,9,7,1,5,5,2,4,1,2,8,4,

%T 9,5,7,3,3,4,2,4,5,5,1,0,4,0,7,8,2,7,0,7,2,1,9,7,5,5,5,2,0,8,6,7,7,1,

%U 1,7,2,8,5,5,0,1,3,3,2,0,9,8,7,8,2,2,1,2,6,1,1,8,6,2,2,7,3,2,7,0,8,4,5,2,2

%N Decimal expansion of (sqrt(2 + e^e)/e)^e.

%C (sqrt(2 + e^e)/e)^e is an approximation to Pi that's correct to five decimal digits.

%H Arkadiusz Wesolowski, <a href="/A187079/b187079.txt">Table of n, a(n) for n = 1..1000</a>

%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_050.htm">Puzzle 50</a>

%e (sqrt(2+e^e)/e)^e = 3.141599009451764738125397155...

%p evalf((sqrt(2+exp(1)^exp(1))/exp(1))^exp(1),120); # _Muniru A Asiru_, Sep 29 2018

%t RealDigits[N[(Sqrt[2 + E^E]/E)^E, 200]][[1]] (* _Arkadiusz Wesolowski_, Mar 08 2011 *)

%o (PARI) default(realprecision, 200); e=exp(1); x=(sqrt(2+e^e)/e)^e; for(n=1, 200, d=floor(x); x=(x-d)*10; print1(d, ", ")); \\ _Arkadiusz Wesolowski_, Mar 08 2011

%o (Magma) SetDefaultRealField(RealField(100)); (Sqrt(2+Exp(Exp(1)))/Exp(1))^Exp(1); // _G. C. Greubel_, Sep 29 2018

%Y Cf. A000796, A073227, A073226.

%K cons,easy,nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Mar 08 2011