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A248179
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Decimal expansion of (2/27)*(9 + 2*sqrt(3)*Pi).
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7
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1, 4, 7, 2, 7, 9, 9, 7, 1, 7, 4, 3, 7, 4, 3, 0, 1, 5, 5, 8, 1, 9, 5, 9, 0, 3, 3, 6, 7, 2, 9, 8, 4, 6, 9, 9, 2, 1, 2, 6, 2, 5, 1, 6, 6, 5, 8, 1, 8, 9, 9, 5, 8, 1, 1, 3, 6, 4, 3, 9, 3, 3, 0, 4, 6, 1, 6, 9, 4, 3, 6, 3, 6, 0, 5, 6, 1, 5, 7, 2, 8, 1, 6, 3, 7, 3
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OFFSET
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1,2
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REFERENCES
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J.-M. Monier, Analyse, Tome 3, 2ème année, MP.PSI.PC.PT, Dunod, 1997, Exercice 3.2.1.q', p. 247.
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LINKS
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FORMULA
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Equals Sum_{h >= 0} 1/binomial(2*h+1, h).
Equals 1 + Integral_{x>=0} 1/(x^2 + x + 1)^2 dx.
Equals 1 + Integral_{x>=1} 1/(x^2 - x + 1)^2 dx.
Equals Integral_{x=0..1} 1/(x^2 - x + 1)^2 dx. (End)
Equals 2 * Sum_{n >= 1} (n!)^2/(2*n)!.
Equals hypergeometric function 2F1([1, 2], [3/2], x) at x=1/4. (End)
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EXAMPLE
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1.472799717437430155819590336729846992126251665818995811364393304616943...
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MATHEMATICA
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r = 2/27 (9 + 2 Sqrt[3] \[Pi]); u = RealDigits[N[r, 200]][[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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