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 A093821 Decimal expansion of (2*(3 - sqrt(3)))/3. 4
 8, 4, 5, 2, 9, 9, 4, 6, 1, 6, 2, 0, 7, 4, 8, 4, 7, 0, 9, 8, 1, 7, 0, 2, 4, 3, 8, 9, 9, 6, 0, 8, 5, 0, 8, 8, 7, 0, 4, 7, 9, 6, 4, 9, 7, 4, 5, 9, 7, 4, 6, 2, 4, 7, 9, 6, 2, 7, 9, 5, 3, 4, 7, 0, 3, 2, 0, 4, 4, 6, 5, 5, 3, 9, 4, 1, 3, 3, 3, 0, 8, 6, 1, 2, 5, 6, 9, 2, 0, 8, 8, 2, 8, 5, 0, 0, 9, 4, 9, 5, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Area of lamina found by Pal in the Lebesgue minimal problem. This appears also as the ratio r_3/r_4 of the outer radii of a regular triangle circumscribed by a regular quadrangle such that they share one vertex and the other two vertices of the triangle touch two sides of the quadrangle. The center of the quadrangle is displaced from the center of the triangle by d/r_4 = 1-2/sqrt(3) = 0.154700.. (see A020832). # R. J. Mathar, Jan 22 2013 LINKS Eric Weisstein's World of Mathematics, Lebesgue Minimal Problem EXAMPLE 0.845299461... MAPLE evalf(2*(1-1/sqrt(3))) ; # R. J. Mathar, Jan 22 2013 CROSSREFS Cf. A010527, A093822. Sequence in context: A247510 A226581 A131271 * A197256 A328017 A195431 Adjacent sequences:  A093818 A093819 A093820 * A093822 A093823 A093824 KEYWORD nonn,cons,easy AUTHOR Eric W. Weisstein, Apr 16 2004 STATUS approved

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Last modified December 5 06:52 EST 2021. Contains 349543 sequences. (Running on oeis4.)