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A010472
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Decimal expansion of square root of 15.
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27
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3, 8, 7, 2, 9, 8, 3, 3, 4, 6, 2, 0, 7, 4, 1, 6, 8, 8, 5, 1, 7, 9, 2, 6, 5, 3, 9, 9, 7, 8, 2, 3, 9, 9, 6, 1, 0, 8, 3, 2, 9, 2, 1, 7, 0, 5, 2, 9, 1, 5, 9, 0, 8, 2, 6, 5, 8, 7, 5, 7, 3, 7, 6, 6, 1, 1, 3, 4, 8, 3, 0, 9, 1, 9, 3, 6, 9, 7, 9, 0, 3, 3, 5, 1, 9, 2, 8, 7, 3, 7, 6, 8, 5, 8, 6, 7, 3, 5, 1
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OFFSET
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1,1
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COMMENTS
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Continued fraction expansion is 3 followed by {1, 6} repeated. - Harry J. Smith, Jun 03 2009
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LINKS
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FORMULA
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Equals 3 + Sum_{k>=0} (-1)^k * binomial(2*k,k)/((k+1) * 6^k). - Amiram Eldar, May 06 2022
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EXAMPLE
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3.87298334620741688517926539978239961083292170529159082658757376611348309193...
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MAPLE
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MATHEMATICA
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PROG
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(PARI) default(realprecision, 20080); x=sqrt(15); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010472.txt", n, " ", d)); \\ Harry J. Smith, Jun 03 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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