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A093603 Decimal expansion of d/2, where d^2=pi/sqrt(3). 0
0, 6, 7, 3, 3, 8, 6, 8, 4, 3, 5, 4, 4, 2, 9, 9, 1, 8, 0, 3, 0, 9, 5, 4, 0, 1, 1, 8, 7, 7, 3, 0, 8, 2, 1, 6, 6, 7, 7, 2, 1, 6, 7, 7, 0, 1, 8, 2, 7, 0, 0, 3, 9, 7, 3, 0, 9, 9, 8, 0, 1, 6, 6, 1, 3, 7, 3, 7, 9, 7, 9, 0, 1, 8, 2, 6, 2, 9, 5, 5, 0, 3, 2, 0, 0, 8, 2, 8, 3, 1, 5, 0, 3, 7, 7, 5, 9, 6, 1, 5, 3, 8, 6, 4, 6 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

d/2=sqrt{pi/sqrt(3)}/2 gives the length of the smallest stroke halving the unit-sided equilateral triangle. From A093602, it is plain that d^2<2, i.e. (d/2)^2<1/2=square of the bisecting line segment parallel to triangle's side. d/2 actually is the arc subtending angle pi/3 about center of circle with radius D/2, where D^2=3/d^2. Since pi/3~1, d~D (see A093604).

REFERENCES

P. Halmos, Problems for Mathematicians Young and Old, Math. Assoc. of Amer. Washington DC 1991.

C. W. Triggs, Mathematical Quickies, Dover NY 1985.

EXAMPLE

sqrt{pi/sqrt(3)}/2=0,673386843544299180309540118773082166772167701827003973099801...

CROSSREFS

Sequence in context: A160155 A153628 A154972 * A105739 A105831 A154339

Adjacent sequences:  A093600 A093601 A093602 * A093604 A093605 A093606

KEYWORD

easy,nonn,cons

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), May 14 2004

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Last modified February 17 14:40 EST 2012. Contains 206040 sequences.