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A101263
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Decimal expansion of sqrt(2-sqrt(3)), edge length of a regular dodecagon with circumradius 1.
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1
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5, 1, 7, 6, 3, 8, 0, 9, 0, 2, 0, 5, 0, 4, 1, 5, 2, 4, 6, 9, 7, 7, 9, 7, 6, 7, 5, 2, 4, 8, 0, 9, 6, 6, 5, 6, 6, 9, 8, 1, 3, 7, 8, 0, 2, 6, 3, 9, 8, 6, 1, 0, 2, 7, 6, 2, 8, 0, 0, 6, 4, 1, 4, 6, 3, 0, 1, 1, 3, 9, 4, 9, 4, 9, 7, 6, 0, 3, 9, 9, 3, 8, 4, 4, 7, 3, 5, 9, 4, 9, 3, 8, 8, 4, 9, 9, 3, 3
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| sqrt(2-sqrt(3)) is the shape of the lesser sqrt(6)-contraction rectangle, as defined at A188739. [From Clark Kimberling, Apr 16 2011]
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LINKS
| Eric Weisstein's World of Mathematics, Link to a section of Mathworld.
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FORMULA
| Equals sqrt(A019913). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2009]
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EXAMPLE
| .5176380902050415246977976752480966566981378026398610276280064146301139494976039938447359493884993310417903....
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MATHEMATICA
| r = 6^(1/2); t = (r - (-4 + r^2)^(1/2))/2; FullSimplify[t]
N[t, 130]
RealDigits[N[t, 130]][[1]] (*A101263*)
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CROSSREFS
| Cf. A188887.
Sequence in context: A099218 A198129 A035109 * A187561 A088515 A200638
Adjacent sequences: A101260 A101261 A101262 * A101264 A101265 A101266
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KEYWORD
| cons,nonn
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AUTHOR
| Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Jan 25 2005
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