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A352125
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Decimal expansion of Pi*sqrt(2)*sqrt(2 + sqrt(2))/8.
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4
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1, 0, 2, 6, 1, 7, 2, 1, 5, 2, 9, 7, 7, 0, 3, 0, 8, 8, 8, 8, 7, 1, 4, 6, 7, 7, 8, 0, 8, 7, 2, 8, 3, 1, 9, 7, 4, 9, 7, 9, 6, 2, 1, 5, 8, 8, 1, 9, 5, 8, 1, 6, 1, 1, 9, 6, 2, 2, 5, 4, 9, 6, 4, 6, 6, 6, 8, 6, 8, 5, 0, 3, 1, 7, 5, 5, 6, 3, 2, 7, 1, 3, 4, 1, 8, 9, 1, 5, 3, 3, 6, 5, 6, 2, 0
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OFFSET
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1,3
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REFERENCES
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Jean-François Pabion, Éléments d'Analyse Complexe, licence de Mathématiques, page 111, Ellipses, 1995.
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LINKS
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FORMULA
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Equals Integral_{x=0..oo} 1/(1 + x^8) dx.
Equals Pi*csc(Pi/8)/8.
Equals 1/Product_{k>=1} (1 - 1/(8*k)^2). - Amiram Eldar, Mar 12 2022
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EXAMPLE
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1.02617215297703088887146778087283197497962...
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MATHEMATICA
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First[RealDigits[N[Pi*Sqrt[2]Sqrt[2+Sqrt[2]]/8, 95]]]
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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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