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A090551
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Decimal expansion of sqrt(3) - Pi/2.
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0
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1, 6, 1, 2, 5, 4, 4, 8, 0, 7, 7, 3, 9, 8, 0, 6, 7, 4, 2, 9, 6, 1, 2, 4, 6, 4, 9, 8, 6, 6, 1, 2, 0, 9, 2, 4, 8, 4, 4, 2, 2, 0, 5, 5, 4, 1, 2, 2, 8, 2, 7, 7, 1, 7, 5, 6, 8, 3, 3, 4, 6, 8, 3, 2, 9, 8, 0, 2, 4, 8, 1, 3, 7, 6, 5, 6, 9, 5, 5, 3, 7, 7, 6, 7, 1, 2, 8, 7, 7, 4, 0, 8, 6, 1, 9, 0, 0, 4, 1, 6, 8, 4, 5, 5, 2
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Decimal expansion of the real number quantifying the area of the Apollonian gasket of three congruent circles of radius 1.
General solution: This constant is the ratio of r^2, where r is the radius of three congruent circles forming a Apollonian gasket, to the area of that Apollonian gasket.
sqrt(3)-pi/2 is the area enclosed between three identical osculating circles of unit radius. - Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 12 2006
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LINKS
| Eric Weisstein's World of Mathematics, Apollonian Gasket.
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FORMULA
| a(n) = 3^(1/2) - pi/2.
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EXAMPLE
| 0.16125448077398067429612464986612...
RealDigits[ Sqrt[3] - Pi/2, 10, 105][[1]]
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MATHEMATICA
| RealDigits[N[Sqrt[3] - Pi/2, 300]][[1]] (* From Vladimir Joseph Stephan Orlovsky, Jul 03 2011 *)
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CROSSREFS
| Cf. A002194; A019669.
Sequence in context: A187110 A013672 A019946 * A070682 A112828 A085766
Adjacent sequences: A090548 A090549 A090550 * A090552 A090553 A090554
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KEYWORD
| cons,nonn
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AUTHOR
| Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Feb 01 2004
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 09 2004
Edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 05 2008 at the suggestion of Rick L. Shepherd (rshepherd2(AT)hotmail.com)
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