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A073016
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Decimal expansion of Sum_{n>=1} 1/binomial(2n,n).
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8
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7, 3, 6, 3, 9, 9, 8, 5, 8, 7, 1, 8, 7, 1, 5, 0, 7, 7, 9, 0, 9, 7, 9, 5, 1, 6, 8, 3, 6, 4, 9, 2, 3, 4, 9, 6, 0, 6, 3, 1, 2, 5, 8, 3, 2, 9, 0, 9, 4, 9, 7, 9, 0, 5, 6, 8, 2, 1, 9, 6, 6, 5, 2, 3, 0, 8, 4, 7, 1, 8, 1, 8, 0, 2, 8, 0, 7, 8, 6, 4, 0, 8, 1, 8, 6, 9, 4, 4, 4, 1, 8, 2, 4, 9, 0, 2, 2, 5, 9, 7, 4, 5, 8, 2, 7
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OFFSET
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0,1
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REFERENCES
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Jean-Marie Monier, Analyse, Tome 3, 2ème année, MP.PSI.PC.PT, Dunod, 1997, Exercice 3.2.1.q' pp. 247 and 439.
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LINKS
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FORMULA
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Equals (9 + 2*sqrt(3)*Pi)/27.
Equals Integral_{x=0..Pi/2} cos(x)/(2 - cos(x))^2 dx. - Amiram Eldar, Aug 19 2020
Equals Sum_{n>=1} (n!)^2 / (2*n)!.
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EXAMPLE
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0.7363998587187150779097951683649234960631258329094979056821966523...
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MATHEMATICA
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RealDigits[ N[ (9 + 2*Sqrt[3]*Pi)/27, 110]] [[1]]
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PROG
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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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