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Search: id:A109134
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| A109134 |
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Decimal expansion of Phi, the real root of the equation 1/x=(x-1)^2. |
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+0
2
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| 1, 7, 5, 4, 8, 7, 7, 6, 6, 6, 2, 4, 6, 6, 9, 2, 7, 6, 0, 0, 4, 9, 5, 0, 8, 8, 9, 6, 3, 5, 8, 5, 2, 8, 6, 9, 1, 8, 9, 4, 6, 0, 6, 6, 1, 7, 7, 7, 2, 7, 9, 3, 1, 4, 3, 9, 8, 9, 2, 8, 3, 9, 7, 0, 6, 4, 6, 0, 8, 0, 6, 5, 5, 1, 2, 8, 0, 8, 1, 0, 9, 0, 7, 3, 8, 2, 2, 7, 0, 9, 2, 8, 4, 2, 2, 5, 0, 3, 0, 3, 6, 4, 8, 3, 7
(list; cons; graph; listen)
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OFFSET
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1,2
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COMMENT
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The silver number (A060006) is equal to Phi*(Phi-1).
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REFERENCES
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M. Gardner, A Gardner's Workout, pp. 124-6, A. K. Peters MA 2001.
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LINKS
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Simon Plouffe, Plouffe's Inverter.
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FORMULA
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Equals 1+A075778. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 20 2008]
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EXAMPLE
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1.75487766624669276004950889635852869189460661777279314398928397064...
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MATHEMATICA
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FindRoot[x^3 - 2x^2 + x - 1 == 0, {x, 1.75}, WorkingPrecision -> 128][[1, 2]] (* Robert G. Wilson v *)
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PROGRAM
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(PARI) {d=104; default(realprecision, d); print(k=solve(x=1, 2, (x-1)^2-1/x)); for(c=0, d, z=floor(k); print1(z, ", ", ); k=10*(k-z))}
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CROSSREFS
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Sequence in context: A112407 A154195 A019858 this_sequence A075778 A010510 A138313
Adjacent sequences: A109131 A109132 A109133 this_sequence A109135 A109136 A109137
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KEYWORD
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cons,nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 17 2005
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EXTENSIONS
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Extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 19 2005
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