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 A100941 Decimal expansion of the nested surd sqrt(Pi + sqrt(Pi + sqrt(Pi + ...))). 4
 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS G. C. Greubel, Table of n, a(n) for n = 1..5000 FORMULA This is the solution of the quadratic equation y^2-y-Pi=0. EXAMPLE 2.34162771851147843176658606229695567871260854774401... MATHEMATICA RealDigits[(1+Sqrt[1+4Pi])/2, 10, 120][[1]] (* Harvey P. Dale, Dec 04 2014 *) PROG (PARI) default(realprecision, 100):t=0:for(n=1, 5000, t=sqrt(t+Pi)):return(t) CROSSREFS Cf. A100942 for continued fraction. Sequence in context: A174715 A069817 A071439 * A082119 A129708 A071518 Adjacent sequences:  A100938 A100939 A100940 * A100942 A100943 A100944 KEYWORD cons,nonn AUTHOR Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 23 2004 STATUS approved

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