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A188834 Decimal expansion of limit sqrt(2*sqrt(4*sqrt(6*sqrt(8*sqrt(10*...sqrt(2*n...)))))). 3
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
3.3233758992671882...
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 *)
CROSSREFS
Sequence in context: A079063 A031352 A245885 * A276575 A244540 A337682
KEYWORD
nonn,cons
AUTHOR
Paolo P. Lava, Apr 12 2011
STATUS
approved

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Last modified March 19 02:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)