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A246727
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Decimal expansion of r_5, the 5th smallest radius < 1 for which a compact packing of the plane exists, with disks of radius 1 and r_5.
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7
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3, 8, 6, 1, 0, 6, 1, 0, 4, 8, 5, 8, 5, 3, 8, 5, 4, 2, 2, 8, 6, 1, 3, 7, 1, 2, 9, 9, 4, 6, 9, 8, 9, 6, 9, 9, 4, 4, 3, 6, 1, 4, 6, 8, 8, 4, 5, 8, 6, 1, 7, 3, 1, 7, 7, 8, 9, 3, 9, 4, 0, 4, 2, 1, 4, 8, 3, 7, 6, 2, 8, 4, 4, 6, 6, 7, 6, 1, 8, 6, 2, 1, 2, 8, 9, 2, 4, 4, 6, 0, 4, 4, 1, 4, 6, 7, 3, 6, 0, 3, 9, 7, 4, 3
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OFFSET
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0,1
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LINKS
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FORMULA
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1st root of 9x^4 - 12x^3 - 26x^2 - 12x + 9.
Equals (1 + 2*sqrt(3) - 2*sqrt(1 + sqrt(3)))/3. - Amiram Eldar, Mar 27 2022
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EXAMPLE
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0.3861061048585385422861371299469896994436146884586173...
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MATHEMATICA
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RealDigits[Root[9x^4 - 12x^3 - 26x^2 - 12x + 9, x, 1], 10, 104] // 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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