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A117605
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Decimal expansion of the real solution to equation x^3 + 3*x = 2.
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0
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5, 9, 6, 0, 7, 1, 6, 3, 7, 9, 8, 3, 3, 2, 1, 5, 2, 3, 1, 1, 2, 8, 0, 5, 4, 1, 4, 3, 9, 9, 6, 8, 1, 8, 2, 8, 1, 1, 3, 3, 2, 5, 4, 9, 4, 3, 9, 6, 2, 1, 3, 1, 9, 4, 3, 2, 4, 7, 9, 0, 8, 3, 0, 3, 6, 0, 0, 5, 1, 6, 2, 6, 8, 6, 2, 0, 8, 9, 1, 8, 5, 8, 7, 1, 6, 6, 0, 3, 3, 7, 5, 4, 2, 8, 4, 7, 5, 4, 7, 4
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OFFSET
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0,1
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COMMENTS
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A014176 Decimal expansion of the silver mean, 1+sqrt(2). Interestingly, when we look for x=0.596071637983321523112805414399681828113325, Plouffe's Inverter ( http://pi.lacim.uqam.ca/eng/) replies: "Roots of polynomials of 4th degree (coeffs: -9..9) 5960716379833215 = 10+15*x+5*x^3" - with wrong sign of the first term.
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LINKS
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Table of n, a(n) for n=0..99.
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FORMULA
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x =(1+sqrt(2))^(1/3)-1/(1+sqrt(2))^(1/3).
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EXAMPLE
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x = 0.596071637983321523112805414399681828113325
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MATHEMATICA
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RealDigits[N[Solve[3*z+z^3==2, z][[1, 1, 2]], 100]][[1]]
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CROSSREFS
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Cf. A014176.
Sequence in context: A133742 A134879 A051158 * A073003 A087498 A201589
Adjacent sequences: A117602 A117603 A117604 * A117606 A117607 A117608
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KEYWORD
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cons,nonn
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AUTHOR
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Zak Seidov, Apr 27 2006
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STATUS
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approved
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