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A100941
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Decimal expansion of the nested surd sqrt(Pi + sqrt(Pi + sqrt(Pi + ...))).
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4
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2, 3, 4, 1, 6, 2, 7, 7, 1, 8, 5, 1, 1, 4, 7, 8, 4, 3, 1, 7, 6, 6, 5, 8, 6, 0, 6, 2, 2, 9, 6, 9, 5, 5, 6, 7, 8, 7, 1, 2, 6, 0, 8, 5, 4, 7, 7, 4, 4, 0, 1, 9, 0, 1, 3, 6, 1, 5, 4, 5, 7, 3, 8, 1, 7, 6, 8, 8, 6, 3, 5, 0, 9, 1, 2, 8, 7, 0, 7, 8, 0, 4, 6, 6, 8, 6, 4, 0, 8, 5, 5, 5, 1, 8, 5, 8, 8, 7, 5, 5
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OFFSET
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1,1
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LINKS
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FORMULA
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This is the solution of the quadratic equation y^2-y-Pi=0.
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EXAMPLE
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2.34162771851147843176658606229695567871260854774401...
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MATHEMATICA
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RealDigits[(1+Sqrt[1+4Pi])/2, 10, 120][[1]] (* Harvey P. Dale, Dec 04 2014 *)
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PROG
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(PARI) default(realprecision, 100):t=0:for(n=1, 5000, t=sqrt(t+Pi)):return(t)
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CROSSREFS
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Cf. A100942 for continued fraction.
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KEYWORD
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 23 2004
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STATUS
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approved
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