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A136319
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Decimal expansion of [phi, phi, ...] = (phi + Sqrt[phi^2 + 4])/2.
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3
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2, 0, 9, 5, 2, 9, 3, 9, 8, 5, 2, 2, 3, 9, 1, 4, 4, 9, 2, 7, 4, 6, 8, 1, 6, 7, 1, 8, 8, 6, 6, 2, 8, 2, 5, 8, 3, 1, 6, 6, 4, 1, 1, 5, 2, 7, 5, 7, 3, 8, 3, 6, 8, 9, 4, 4, 0, 4, 7, 7, 5, 5, 4, 6, 6, 5, 4, 5, 3, 7, 8, 5, 0, 7, 6, 3, 9, 7, 8, 6, 1, 3, 7, 5, 2, 1, 8, 3, 6, 1, 4, 3, 0, 7, 4, 7, 1, 3, 5, 3
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| A geometric realization of this number is the ratio of length to width of a meta-golden rectangle. See A188635 for details and continued fraction. [From Clark Kimberling, Apr 6 2011]
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LINKS
| Eric Weisstein's World of Mathematics, Silver Ratio
Wikipedia, Silver ratio
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FORMULA
| (phi + Sqrt[phi^2 + 4])/2;
also, (1/4)*(1+sqrt(5)+sqrt(H)), where z=22+2*sqrt(5).
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MATHEMATICA
| (GoldenRatio + Sqrt[GoldenRatio^2 + 4])/2
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CROSSREFS
| Cf. A014176.
Sequence in context: A168229 A019693 A007493 * A176057 A152566 A021481
Adjacent sequences: A136316 A136317 A136318 * A136320 A136321 A136322
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KEYWORD
| cons,nonn
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AUTHOR
| Ryan Tavenner (tavs(AT)pacbell.net), Mar 24 2008
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