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Decimal expansion of root of (2-x)^(1/(2+x)) + (3-x)^(1/(2+x)) = Pi.
1

%I #12 Mar 05 2015 13:39:45

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

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

%U 6,0,1,3

%N Decimal expansion of root of (2-x)^(1/(2+x)) + (3-x)^(1/(2+x)) = Pi.

%H Vincenzo Librandi, <a href="/A135800/b135800.txt">Table of n, a(n) for n = 0..1000</a>

%e 0.0034347656974603003959577002041425510720474204464477762765...

%t digits = 70; x /. FindRoot[ (2-x)^(1/(2+x)) + (3-x)^(1/(2+x)) == Pi, {x, 0}, WorkingPrecision -> digits+5] // RealDigits[#, 10, digits]& // First // Join[{0, 0}, #]& (* _Jean-François Alcover_, Mar 07 2013 *)

%K nonn,cons

%O 0,3

%A _Alexander R. Povolotsky_ and _Robert Israel_, Mar 06 2008