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A207528
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Decimal expansion of 4th du Bois-Reymond constant.
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8
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0, 0, 5, 2, 4, 0, 7, 0, 4, 6, 7, 7, 7, 0, 4, 7, 7, 1, 1, 4, 8, 5, 6, 8, 9, 2, 0, 0, 7, 0, 1, 0, 5, 8, 9, 3, 7, 5, 8, 6, 8, 4, 3, 4, 4, 5, 5, 0, 8, 3, 4, 9, 2, 8, 6, 8, 4, 7, 6, 0, 3, 3, 3, 5, 5, 7, 9, 2, 0, 8, 6, 4, 4, 5, 2, 4, 5, 4, 8, 0, 3, 5, 1, 7, 4, 6, 6, 3, 2, 7, 7, 0, 3, 5, 3, 0, 8
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OFFSET
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0,3
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 237-239.
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LINKS
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FORMULA
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2*Sum_{k>=1} (1 + (x_k)^2)^(-2) = (e^4 - 4*e^2 - 25)/8, where x_k is the k-th root of t = tan t and e = 2.71828... is the natural logarithm base.
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EXAMPLE
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0.0052407046777047711...
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MATHEMATICA
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RealDigits[(E^4 - 4E^2 - 25)/8, 10, 100][[1]]
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CROSSREFS
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Cf. A138730 (continued fraction expansion).
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KEYWORD
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AUTHOR
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STATUS
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approved
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