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A307235
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Decimal expansion of sqrt(2) + sqrt((3-3*sqrt(3)+Pi)/3).
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3
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1, 9, 7, 5, 5, 9, 2, 8, 8, 4, 7, 8, 1, 5, 0, 0, 5, 1, 5, 9, 1, 6, 4, 6, 5, 2, 5, 8, 5, 1, 3, 5, 8, 9, 3, 4, 6, 5, 1, 6, 7, 4, 7, 9, 1, 6, 8, 4, 3, 2, 0, 8, 9, 8, 4, 5, 6, 0, 4, 2, 4, 3, 9, 1, 1, 7, 6, 6, 4, 7, 0, 9, 2, 8, 0, 5, 8, 4, 2, 8, 4, 7, 4, 2, 4, 6, 2, 5, 4, 2, 6, 4, 3, 1, 2, 1, 3
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OFFSET
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1,2
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COMMENTS
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This is claimed to be the minimal cut length required to cut a unit square into 4 pieces of equal area after making certain assumptions about the cuts (compare A307234).
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LINKS
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EXAMPLE
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1.975592884781500515916465258513589346516747916843208984560424391176647...
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MATHEMATICA
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RealDigits[Sqrt[2] + Sqrt[(Pi+3-3*Sqrt[3])/3], 10, 100][[1]] (* G. C. Greubel, Jul 02 2019 *)
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PROG
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(PARI) default(realprecision, 100); sqrt(2) + sqrt((Pi+3-3*sqrt(3))/3) \\ G. C. Greubel, Jul 02 2019
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2) + Sqrt((Pi(R)+3-3*Sqrt(3))/3); // G. C. Greubel, Jul 02 2019
(Sage) numerical_approx(sqrt(2) + sqrt((pi+3-3*sqrt(3))/3), digits=100) # G. C. Greubel, Jul 02 2019
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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