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A296183
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Decimal expansion of (1/2)*sqrt(7 + phi), with the golden section from A001622.
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0
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1, 4, 6, 7, 8, 2, 4, 4, 0, 9, 5, 2, 1, 6, 1, 3, 6, 2, 8, 0, 9, 8, 1, 6, 3, 7, 2, 6, 4, 6, 7, 1, 2, 1, 3, 3, 7, 5, 4, 2, 5, 6, 5, 5, 5, 9, 8, 8, 8, 4, 2, 0, 0, 2, 0, 5, 1, 0, 2, 9, 9, 2, 9, 7, 5, 2, 3, 2, 9, 4, 3, 8, 3, 3, 9, 9, 6, 9, 5, 4, 4, 9, 3, 8, 2, 1, 4, 5, 9, 9, 3, 8, 1, 8, 3, 4, 2, 7
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OFFSET
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1,2
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COMMENTS
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In a regular pentagon inscribed in a unit circle this equals the second largest distance between a vertex and a midpoint of a side. The shortest such distance is (1/2)*sqrt(3 - phi) = (1/2)*A182007 = 0.58778525229..., and the longest 1 + phi/2 = (1/2)*(2 + phi) = (1/2)*A296184 = 1.80901699437...
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LINKS
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FORMULA
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(1/2)*sqrt(7 + phi). From the comment on the pentagon above this results from sqrt((5/4)^2 + (sqrt(3 - phi)/2 + sqrt(7 - 4*phi)/4)^2).
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EXAMPLE
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1.467824409521613628098163726467121337542565559888420020510299297523294383...
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MATHEMATICA
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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