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A100945 Decimal expansion of the nested surd Sqrt[Pi + CubeRoot[Pi + 4thRoot[Pi + 5thRoot[Pi + ...]]]]. 1

%I

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

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

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

%N Decimal expansion of the nested surd Sqrt[Pi + CubeRoot[Pi + 4thRoot[Pi + 5thRoot[Pi + ...]]]].

%F (Pi+(Pi+(Pi+(Pi+...)^(1/5))^(1/4))^(1/3))^(1/2)

%e 2.19188129191602575816459361879475345697696275289824362296035...

%o (PARI) default(realprecision,100):t=0:forstep(n=1000,1,-1,t=(t+Pi)^(1/(n+1))):return(t)

%Y Cf. A100946 for continued fraction.

%K cons,nonn

%O 1,1

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 23 2004

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