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A346713
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Decimal expansion of sqrt(log 2).
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1
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8, 3, 2, 5, 5, 4, 6, 1, 1, 1, 5, 7, 6, 9, 7, 7, 5, 6, 3, 5, 3, 1, 6, 4, 6, 4, 4, 8, 9, 5, 2, 0, 1, 0, 4, 7, 6, 3, 0, 5, 8, 8, 8, 5, 2, 2, 6, 4, 4, 4, 0, 7, 2, 9, 1, 6, 6, 8, 2, 9, 1, 1, 7, 2, 3, 4, 0, 7, 9, 4, 3, 5, 1, 9, 7, 3, 0, 4, 6, 3, 7, 1, 4, 8, 9, 9, 8, 0
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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Represents a transcendental number.
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REFERENCES
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Ludwig Seidel, Ueber eine Darstellung des Kreisbogens, des Logarithmus und des elliptischen Integrales erster Art durch unendliche Producte, Borchardt J., (1871), vol. 73, pp. 273-291.
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LINKS
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Table of n, a(n) for n=0..87.
Index entries for transcendental numbers
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FORMULA
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Equals Product_{k>=1} (2/(2^(1/2^k) + 1))^(1/2).
Equals sqrt(2*arccoth(3)) = sqrt(A002162).
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EXAMPLE
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0.8325546111576977563531646448952010476305888522644407291668291172340794351973...
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MAPLE
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Digits := 120; sqrt(log(2)): evalf(%)*10^91:
ListTools:-Reverse(convert(floor(%), base, 10));
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MATHEMATICA
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RealDigits[Sqrt[Log[2]], 10, 100][[1]] (* Amiram Eldar, Sep 01 2021 *)
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PROG
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(Julia)
using Nemo
R = RealField(305); _1 = R(1); _2 = R(2); H = R(1/2)
p = prod((_2/(_2^(_1/_2^k) + 1))^H for k in 1:300)
println(p)
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CROSSREFS
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Cf. A002162.
Sequence in context: A346718 A119277 A273556 * A154014 A063568 A302138
Adjacent sequences: A346710 A346711 A346712 * A346714 A346715 A346716
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KEYWORD
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nonn,cons
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AUTHOR
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Peter Luschny, Sep 01 2021
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STATUS
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approved
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