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Search: id:A093603
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| A093603 |
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Decimal expansion of d/2, where d^2=pi/sqrt(3). |
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+0
1
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| 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; cons; graph; listen)
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OFFSET
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1,2
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COMMENT
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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).
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REFERENCES
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P. Halmos, Problems for Mathematicians Young and Old, Math. Assoc. of Amer. Washington DC 1991.
C. W. Triggs, Mathematical Quickies, Dover NY 1985.
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EXAMPLE
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sqrt{pi/sqrt(3)}/2=0,673386843544299180309540118773082166772167701827003973099801...
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CROSSREFS
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Sequence in context: A160155 A153628 A154972 this_sequence A105739 A105831 A154339
Adjacent sequences: A093600 A093601 A093602 this_sequence A093604 A093605 A093606
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KEYWORD
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easy,nonn,cons
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), May 14 2004
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