A188834 Decimal expansion of limit sqrt(2*sqrt(4*sqrt(6*sqrt(8*sqrt(10*...sqrt(2*n...)))))).

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

Offset: 1

Author

Paolo P. Lava, Apr 12 2011

Keywords

• nonn
• cons

Examples

			3.3233758992671882...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A112302, A171759, A188835.

Programs

Maple

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);

Mathematica

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 *)