A187079 Decimal expansion of (sqrt(2 + e^e)/e)^e.

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, 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, 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

Offset: 1

Author

Arkadiusz Wesolowski, Mar 08 2011

Keywords

• cons
• easy
• nonn

Comments

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

Examples

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

Links

• Arkadiusz Wesolowski, Table of n, a(n) for n = 1..1000
• Carlos Rivera, Puzzle 50

Crossrefs

Cf. A000796, A073227, A073226.

Programs

Magma

SetDefaultRealField(RealField(100)); (Sqrt(2+Exp(Exp(1)))/Exp(1))^Exp(1); // G. C. Greubel, Sep 29 2018

Maple

evalf((sqrt(2+exp(1)^exp(1))/exp(1))^exp(1),120); # Muniru A Asiru, Sep 29 2018

Mathematica

RealDigits[N[(Sqrt[2 + E^E]/E)^E, 200]][[1]] (* Arkadiusz Wesolowski, Mar 08 2011 *)

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