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A163960
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Decimal expansion of 2*(sqrt(2) - 1).
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7
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8, 2, 8, 4, 2, 7, 1, 2, 4, 7, 4, 6, 1, 9, 0, 0, 9, 7, 6, 0, 3, 3, 7, 7, 4, 4, 8, 4, 1, 9, 3, 9, 6, 1, 5, 7, 1, 3, 9, 3, 4, 3, 7, 5, 0, 7, 5, 3, 8, 9, 6, 1, 4, 6, 3, 5, 3, 3, 5, 9, 4, 7, 5, 9, 8, 1, 4, 6, 4, 9, 5, 6, 9, 2, 4, 2, 1, 4, 0, 7, 7, 7, 0, 0, 7, 7, 5, 0, 6, 8, 6, 5, 5, 2, 8, 3, 1, 4, 5
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OFFSET
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0,1
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COMMENTS
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Decimal expansion of shortest length, (B), of segment from side BC through incenter to side BA in right triangle ABC with sidelengths (a,b,c)=(1,1,sqrt(2)). (See A195284.) - Clark Kimberling, Sep 14 2011
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REFERENCES
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J. M. Steele, Probability Theory and Combinatorial Optimization, SIAM, 1997, p. 3.
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LINKS
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FORMULA
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Equals Sum_{k>=0} (-1)^k * binomial(2*k,k)/((k+1) * 4^k). - Amiram Eldar, May 06 2022
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EXAMPLE
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0.82842712474619009760337744841939615713934375075389614635335...
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MATHEMATICA
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RealDigits[2(Sqrt[2]-1), 10, 120][[1]] (* Harvey P. Dale, May 27 2016 *)
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PROG
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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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