A093821 Decimal expansion of (2*(3 - sqrt(3)))/3.

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

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

Table of n, a(n) for n=0..101.

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