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A010547
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Decimal expansion of square root of 96.
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3
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9, 7, 9, 7, 9, 5, 8, 9, 7, 1, 1, 3, 2, 7, 1, 2, 3, 9, 2, 7, 8, 9, 1, 3, 6, 2, 9, 8, 8, 2, 3, 5, 6, 5, 5, 6, 7, 8, 6, 3, 7, 8, 9, 9, 2, 2, 6, 2, 6, 6, 8, 0, 5, 1, 3, 7, 3, 0, 7, 7, 0, 2, 6, 9, 0, 0, 3, 8, 4, 1, 5, 0, 9, 8, 2, 9, 2, 6, 0, 1, 0, 6, 1, 5, 9, 4, 3, 7, 7, 3, 2, 4, 1, 8, 5, 6, 0, 9, 3, 9, 2, 7, 4, 3, 7
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Continued fraction expansion is 9 followed by {1, 3, 1, 18} repeated. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 11 2009]
This differs only by offset from 2*(6^(1/2))/5 = 0.9797958971132712392789... as used in Theorem 5, equation 1.8, p.4 of Cao. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 29 2010]
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,20000
Zhenwei Cao, Alexander Elgart, On efficiency of Hamiltonian--based quantum computation for low-rank matrices, April 27, 2010. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 29 2010]
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EXAMPLE
| 9.797958971132712392789136298823565567863789922626680513730770269003841... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 11 2009]
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MATHEMATICA
| RealDigits[N[96^(1/2), 200]][[1]] (* From Vladimir Joseph Stephan Orlovsky, Jan 24 2012 *)
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PROG
| (PARI) { default(realprecision, 20080); x=sqrt(96); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010547.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 11 2009]
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CROSSREFS
| Cf. A010167 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 11 2009]
Sequence in context: A199048 A094132 A121911 * A011405 A131724 A190995
Adjacent sequences: A010544 A010545 A010546 * A010548 A010549 A010550
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KEYWORD
| nonn,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Final digits of sequence corrected using the b-file. - N. J. A. Sloane, Aug 30 2009
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