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A244850
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Decimal expansion of 'c2', a constant (negated) closely related to 'c1', the Quinn-Rand-Strogatz (QRS) constant of nonlinear physics.
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0
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1, 0, 4, 6, 8, 5, 4, 5, 9, 4, 3, 3, 0, 7, 1, 1, 7, 6, 2, 6, 2, 1, 5, 8, 4, 3, 6, 5, 8, 3, 9, 5, 0, 3, 6, 1, 5, 6, 6, 3, 0, 6, 1, 8, 8, 4, 2, 2, 9, 2, 8, 6, 5, 9, 2, 4, 0, 8, 9, 7, 9, 9, 0, 3, 2, 4, 4, 5, 1, 6, 1, 1, 6, 4, 6, 0, 4, 9, 9, 5, 6, 6, 7, 8, 9, 2, 4, 0, 1, 9, 5, 0, 8, 7, 1, 2, 2, 5, 4, 7, 4
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OFFSET
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0,3
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LINKS
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FORMULA
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c2 = c1 - c1^2 - 30*zeta(-1/2, c1/2)/zeta(3/2, c1/2), where zeta is the generalized Riemann zeta function.
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EXAMPLE
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-0.104685459433071176262158436583950361566306188422928659240897990324451611646...
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MATHEMATICA
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digits = 101; c1 = z /. FindRoot[Zeta[1/2, z/2], {z, 1}, WorkingPrecision -> digits+5]; c2 = c1 - c1^2 - 30*Zeta[-1/2, c1/2]/Zeta[3/2, c1/2]; RealDigits[c2, 10, digits] // First
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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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