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A139339
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Decimal expansion of the square root of the golden ratio. That is, the decimal expansion of ((1+sqrt(5))/2)^(1/2).
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16
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1, 2, 7, 2, 0, 1, 9, 6, 4, 9, 5, 1, 4, 0, 6, 8, 9, 6, 4, 2, 5, 2, 4, 2, 2, 4, 6, 1, 7, 3, 7, 4, 9, 1, 4, 9, 1, 7, 1, 5, 6, 0, 8, 0, 4, 1, 8, 4, 0, 0, 9, 6, 2, 4, 8, 6, 1, 6, 6, 4, 0, 3, 8, 2, 5, 3, 9, 2, 9, 7, 5, 7, 5, 5, 3, 6, 0, 6, 8, 0, 1, 1, 8, 3, 0, 3, 8, 4, 2, 1, 4, 9, 8, 8, 4, 6, 0, 2, 5, 8, 5, 3, 8, 5, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The hyperbolas x^2-y^2=1 and xy=1 meet at (c,1/c) and (-c,-1/c), where c=sqrt(golden ratio); see the Mathematica program for a graph. [From Clark Kimberling, Oct 19 2011]
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EXAMPLE
| c=1.2720196495140689642524224617374914917156080418400...
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MATHEMATICA
| N[Sqrt[GoldenRatio], 100]
FindRoot[x*Sqrt[-1 + x^2] == 1, {x, 1.2, 1.3}, WorkingPrecision -> 110]
Plot[{Sqrt[-1 + x^2], 1/x}, {x, 0, 3}]
[From Clark Kimberling, Oct 19 2011]
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CROSSREFS
| Cf. A001622, A094214, A104457, A098317, A002390; A197762 (related intersection of hyperbolas).
Sequence in context: A175728 A125699 A060465 * A090986 A195726 A095194
Adjacent sequences: A139336 A139337 A139338 * A139340 A139341 A139342
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KEYWORD
| nonn,cons
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AUTHOR
| Mohammad K. Azarian (azarian(AT)evansville.edu), Apr 14 2008
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