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A173272
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Positive solution of sqrt((2-x)(2+x))+sqrt((3-x)(3+x))=sqrt((2-x)(2+x))*sqrt((3-x)(3+x)).
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0
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1, 2, 3, 1, 1, 8, 5, 7, 2, 3, 7, 7, 8, 6, 6, 8, 8, 2, 9, 9, 6, 2, 7, 0, 5, 8, 3, 4, 7, 6, 9, 7, 8, 8, 8, 7, 4, 5, 6, 8, 6, 4, 9, 0, 2, 6, 9, 9, 7, 6, 3, 4, 9, 2, 4, 3, 4, 3, 8, 4, 6, 9, 0, 2, 8, 6, 3, 2, 7, 8, 8, 3, 5, 4, 6, 3, 6, 8, 2, 5, 8, 0, 2, 0, 7, 0, 2, 2, 0, 7, 6, 1, 3, 6, 5, 4, 2, 3, 1, 5, 7, 7, 8, 7, 3
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OFFSET
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1,2
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COMMENTS
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x = sqrt(4-(y+1)^2) = 1.23118572... ; y = (-1 + sqrt(z-4) + sqrt(2*sqrt(4+z^2) - 2*sqrt(z-4) -z - 3))/2 = 0.57612871... with z = (5/3) + ((395/27) + sqrt(5200/27))^(1/3) + ((395/27) - sqrt(5200/27))^(1/3) = 5.63079775...
A root of the polynomial x^8-22*x^6+163*x^4-454*x^2+385. [From R. J. Mathar, Feb 21 2010]
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LINKS
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Table of n, a(n) for n=1..105.
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EXAMPLE
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equals 1.231185723778668829962705... [From R. J. Mathar, Feb 21 2010]
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MAPLE
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Digits := 120 ; fsolve(x^8-22*x^6+163*x^4-454*x^2+385, x, 1.1..1.3) ; [From R. J. Mathar, Feb 21 2010]
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MATHEMATICA
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Root[#^8 - 22#^6 + 163#^4 - 454#^2 + 385 &, 3] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Feb 22 2013 *)
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CROSSREFS
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Sequence in context: A204167 A217897 A135900 * A047789 A068869 A064529
Adjacent sequences: A173269 A173270 A173271 * A173273 A173274 A173275
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KEYWORD
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cons,nonn
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AUTHOR
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Philippe DELEHAM, Feb 14 2010
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EXTENSIONS
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More digits from R. J. Mathar, Feb 21 2010
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STATUS
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approved
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