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Search: id:A086751
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| A086751 |
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Decimal expansion of the solution to x*Sqrt(1-x^2)+arcsin(x)=pi/4, or the length of the line connecting the origin to the center of the chord of a circle, centered at 0 and of radius 1, that divides the circle such that 1/4 of the area is on one side and 3/4 is on the other side. |
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+0
1
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| 4, 0, 3, 9, 7, 2, 7, 5, 3, 2, 9, 9, 5, 1, 7, 2, 0, 9, 3, 1, 8, 9, 6, 1, 7, 4, 0, 0, 6, 6, 3, 1, 5, 4, 4, 2, 9, 0, 2, 2, 3, 5, 9, 6
(list; cons; graph; listen)
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OFFSET
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0,1
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FORMULA
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Define k(n+1) to be k(n)-(k(n)sqrt(1-k(n)^2)+arcsin(k(n))-pi/4) The sequence is the decimal expansion of limit_{n -> infinity} k(n).
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EXAMPLE
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0.403972753299517...
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CROSSREFS
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Sequence in context: A062525 A085655 A048649 this_sequence A048281 A066273 A028650
Adjacent sequences: A086748 A086749 A086750 this_sequence A086752 A086753 A086754
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KEYWORD
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cons,nonn,easy,more
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AUTHOR
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Jonathan R. Anderson (neo__jon(AT)hotmail.com), Jul 30 2003
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EXTENSIONS
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More terms from Jim Nastos (nastos(AT)gmail.com), Sep 05 2003
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