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A159570
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Continued fraction for 1/(Sqrt[2]G), where G is Gauss's constant A014549.
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1
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0, 1, 5, 1, 1, 5, 20, 1, 13, 2, 1, 1, 61, 1, 1, 2, 4, 1, 3, 1, 2, 1, 5, 1, 13, 1, 11, 7, 6, 2, 77, 7, 1, 5, 4, 8, 1, 1, 6, 4, 2, 1, 1, 2, 4, 1, 1, 2, 1, 3, 1, 1, 6, 6, 1, 7, 1, 10, 1, 1, 4, 1, 4, 2, 1, 7, 1, 4, 1, 2, 17, 2, 2, 1, 5, 2, 1, 2, 1, 1, 1, 3, 3, 1, 1, 6, 1, 1, 16, 3, 1320, 2, 2, 7, 5, 9, 1, 217, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Also called the Ubiquitous Constant
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,20000
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FORMULA
| The Ubiquitous Constant = agm(1, sqrt(1/2)) = BetaC(.75, .75) / 2 = Gam(.75)*Gam(.75)/(2*Gam(1.5)
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EXAMPLE
| 0.847213084793979086606499123... = 0 + 1/(1 + 1/(5 + 1/(1 + 1/(1 + ...))))
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(agm(1, sqrt(1/2))); for (n=0, 20000, write("b159570.txt", n, " ", x[n+1])); }
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CROSSREFS
| Sequence in context: A152717 A071856 A144221 * A028313 A173119 A050178
Adjacent sequences: A159567 A159568 A159569 * A159571 A159572 A159573
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KEYWORD
| nonn
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AUTHOR
| Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 16 2009
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