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A188834
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Decimal expansion of limit sqrt(2*sqrt(4*sqrt(6*sqrt(8*sqrt(10*...sqrt(2*n...)))))).
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3
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3, 3, 2, 3, 3, 7, 5, 8, 9, 9, 2, 6, 7, 1, 8, 8, 2, 4, 2, 5, 9, 1, 6, 3, 7, 8, 4, 5, 4, 9, 9, 9, 0, 1, 4, 9, 9, 9, 2, 8, 8, 3, 7, 2, 7, 0, 0, 5, 0, 1, 3, 6, 4, 1, 6, 3, 7, 9, 4, 2, 2, 3, 3, 6, 0, 5, 1, 2, 1, 8, 0, 5, 9, 6, 5, 2, 7, 6, 7, 4, 5, 5, 8, 1, 6, 7, 3, 8, 3, 5, 2, 8, 2, 2, 9, 2, 2, 3, 3, 4, 3
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OFFSET
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1,1
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LINKS
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EXAMPLE
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3.3233758992671882...
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MAPLE
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with(numtheory);
P:=proc(i)
local a, n;
a:=1;
for n from i by -1 to 1 do a:=2*n*sqrt(a); od;
print(evalf(sqrt(a), 1000));
end:
P(5000);
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MATHEMATICA
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digits = 101; p[m_] := p[m] = Fold[N[Sqrt[#2*#1], digits] &, 1, Range[2*m, 2, -2]] // RealDigits[#, 10, digits]& // First; p[digits]; p[m = 2*digits]; While[p[m] != p[m/2], m = 2*m]; p[m] (* Jean-François Alcover, Feb 24 2014 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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