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A348909
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Decimal expansion of the real root of x^3 + x^2 - 2*x - 4.
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2
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1, 6, 5, 8, 9, 6, 7, 0, 8, 1, 9, 1, 6, 9, 9, 4, 0, 7, 9, 3, 4, 6, 7, 7, 5, 1, 5, 6, 7, 8, 4, 0, 1, 5, 6, 1, 5, 2, 4, 3, 9, 9, 3, 3, 4, 4, 5, 6, 2, 7, 7, 7, 1, 0, 0, 3, 5, 2, 2, 1, 5, 4, 8, 8, 9, 8, 4, 1, 6, 8, 0, 2, 0, 7, 8, 0, 3, 3, 6, 0, 7, 4, 8, 4, 4, 2, 9, 0, 7, 8
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OFFSET
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1,2
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COMMENTS
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This constant appears in the upper bounds formula of both the peak sidelobe level and the peak cross-correlation of Rudin-Shapiro sequences.
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LINKS
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FORMULA
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Equals ((44 + 3*sqrt(177))^(1/3) + (44 - 3*sqrt(177))^(1/3) - 1)/3.
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EXAMPLE
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1.6589670819169940793467751567840...
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MATHEMATICA
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First[RealDigits[N[Root[x^3+x^2-2x-4, x, 1], 90]]]
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PROG
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(PARI) solve(x=0, 2, x^3 + x^2 - 2*x - 4) \\ Michel Marcus, Nov 03 2021
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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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