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A094886
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Decimal expansion of phi*Pi, where phi = (1+sqrt(5))/2.
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11
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5, 0, 8, 3, 2, 0, 3, 6, 9, 2, 3, 1, 5, 2, 5, 9, 8, 1, 5, 8, 0, 9, 5, 0, 9, 0, 1, 3, 2, 4, 2, 1, 9, 8, 8, 4, 1, 8, 3, 1, 8, 3, 9, 2, 9, 3, 2, 2, 1, 1, 5, 4, 1, 2, 0, 4, 8, 2, 3, 3, 2, 8, 0, 9, 2, 4, 9, 9, 7, 9, 1, 4, 3, 4, 5, 2, 6, 9, 8, 6, 0, 1, 8, 6, 6, 0, 8, 8, 6, 2, 0, 3, 5, 3, 9, 4, 2, 1, 5
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OFFSET
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1,1
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COMMENTS
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The area of a golden ellipse with a semi-major axis phi and a minor semi-axis 1. - Amiram Eldar, Jul 05 2020
phi*Pi = area of the region having boundaries y = 0, x = Pi/2, and y = (tan x)^(4/5). - Clark Kimberling, Oct 25 2020
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LINKS
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FORMULA
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Equals the nested radical sqrt(Pi^2+sqrt(Pi^4+sqrt(Pi^8+...))). For a proof, see A094885. - Stanislav Sykora, May 24 2016
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EXAMPLE
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5.0832036923152598158...
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MATHEMATICA
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PROG
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(PARI) { default(realprecision, 20080); phi=(1+sqrt(5))/2; x=phi*Pi; for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b094886.txt", n, " ", d)); } \\ Harry J. Smith, Apr 27 2009
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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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