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 A133742 Decimal expansion of cap height at which the area of a circular segment equals 1/4 that of the entire circle. 2
 5, 9, 6, 0, 2, 7, 2, 4, 6, 7, 0, 0, 4, 8, 2, 7, 9, 0, 6, 8, 1, 0, 3, 8, 2, 5, 9, 9, 3, 3, 6, 8, 4, 5, 5, 7, 0, 9, 7, 7, 6, 4, 0, 3, 5, 4, 2, 5, 9, 0, 1, 5, 7, 7, 7, 4, 9, 9, 0, 2, 3, 9, 8, 2, 6, 6, 1, 2, 9, 4, 5, 0, 0, 2, 8, 7, 0, 4, 6, 4, 6, 4, 9, 8, 7, 5, 6, 6, 0, 9, 8, 3, 4, 7, 7, 7, 2, 7, 1, 2, 9, 0, 5, 0, 8 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES Mutiu F. Erinosho, ET Akinlabi, S Pityana, Effect of scanning speed and powder flow rate on the evolving properties of laser metal deposited Ti-6Al-4V/Cu composites, International Journal of Surface Science and Engineering, Volume 10, Issue 3, 2016; DOI: 10.1504/IJSURFSE.2016.076993 (Mentions this number) LINKS G. C. Greubel, Table of n, a(n) for n = 0..10000 Eric Weisstein's World of Mathematics, Circular Segment Eric Weisstein's World of Mathematics, Quarter Tank Problem EXAMPLE 0.5960272467004827906810382599336845570977640354259015777499... MATHEMATICA RealDigits[x/.FindRoot[Pi/4 == ArcCos[1 - x] - (1 - x)*Sqrt[x*(2 - x)], {x, 0, 1}, WorkingPrecision -> 200], 10, 100][[1]] (* G. C. Greubel, Nov 16 2018 *) PROG (PARI) default(realprecision, 100); solve(x=0, 1, acos(1-x) - (1-x)*sqrt(x*(2-x)) - Pi/4) \\ G. C. Greubel, Nov 16 2018 CROSSREFS Sequence in context: A010720 A094389 A057821 * A134879 A051158 A117605 Adjacent sequences:  A133739 A133740 A133741 * A133743 A133744 A133745 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Sep 22 2007 STATUS approved

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Last modified April 17 02:26 EDT 2021. Contains 343059 sequences. (Running on oeis4.)