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Search: id:A010466
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| A010466 |
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Decimal expansion of square root of 8. |
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+0
5
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| 2, 8, 2, 8, 4, 2, 7, 1, 2, 4, 7, 4, 6, 1, 9, 0, 0, 9, 7, 6, 0, 3, 3, 7, 7, 4, 4, 8, 4, 1, 9, 3, 9, 6, 1, 5, 7, 1, 3, 9, 3, 4, 3, 7, 5, 0, 7, 5, 3, 8, 9, 6, 1, 4, 6, 3, 5, 3, 3, 5, 9, 4, 7, 5, 9, 8, 1, 4, 6, 4, 9, 5, 6, 9, 2, 4, 2, 1, 4, 0, 7, 7, 7, 0, 0, 7, 7, 5, 0, 6, 8, 6, 5, 5, 2, 8, 3, 1, 4, 5, 4, 7
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sqrt(8)=2*sqrt(2) is the length of the longest (rigid) ladder that can be carried horizontally around a right angled corner in a hallway of unit width. - Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 19 2006
Continued fraction expansion is 2 followed by {1, 4} repeated. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 05 2009]
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REFERENCES
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S. R. Finch, Moving Sofa Constant, Sect. 8.12 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 519-523, 2003.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
R. J. Nemiroff & J. Bonnell, The first 1 million digits of the square root of 8
R. J. Nemiroff & J. Bonnell, Plouffe's Inverter, The first 1 million digits of the square root of 8
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
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EXAMPLE
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2.828427124746190097603377448419396157139343750753896146353359475981464... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
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PROGRAM
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(PARI) { default(realprecision, 20080); x=sqrt(8); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010466.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
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CROSSREFS
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Cf. A040005 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
Sequence in context: A065485 A064912 A010698 this_sequence A086396 A098471 A074723
Adjacent sequences: A010463 A010464 A010465 this_sequence A010467 A010468 A010469
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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