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A185266
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Gauss's constant beta = 2*alpha*gamma + 3*alpha^2*h - log(2)*alpha/6, where alpha = 4/Pi^2 (A185199), gamma is Euler's constant (A001620) and h = -Zeta(1,2) (A073002).
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1
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8, 8, 3, 0, 4, 6, 0, 4, 6, 1, 6, 5, 0, 5, 9, 5, 2, 7, 8, 0, 5, 2, 4, 4, 4, 2, 9, 1, 9, 0, 3, 9, 3, 1, 1, 6, 2, 1, 3, 6, 5, 1, 2, 4, 3, 0, 7, 7, 9, 6, 3, 9, 0, 0, 9, 3, 0, 5, 1, 4, 8, 0, 1, 6, 6, 3, 5, 9, 6, 2, 7, 4, 9, 4, 6, 7, 3, 3, 3, 1, 8, 8, 1, 6, 4, 6, 8, 5, 9, 6, 7, 6, 1, 5, 1, 8, 9, 4
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OFFSET
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0,1
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REFERENCES
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C. F. Gauss, Disquisitiones Arithmeticae, Yale, 1965; see p. 358 (there is a typo in the definition: in the last line on page 358, "a" should be alpha).
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LINKS
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EXAMPLE
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.88304604616505952780524442919039311621365124307796390093051...
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MATHEMATICA
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RealDigits[(8/Pi^2)*EulerGamma - (48/Pi^4)*Zeta'[2] - (2/3)*Log[2]/Pi^2, 10, 50][[1]] (* G. C. Greubel, Jun 25 2017 *)
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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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