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A268580 Decimal expansion of sqrt(Pi + Pi*sqrt(Pi + Pi*sqrt(Pi + ...))). 2
3, 9, 3, 9, 1, 2, 7, 7, 5, 5, 0, 0, 8, 0, 4, 5, 3, 5, 7, 0, 2, 8, 2, 1, 6, 2, 5, 4, 6, 6, 3, 7, 5, 1, 3, 4, 1, 3, 0, 7, 1, 7, 8, 1, 4, 0, 7, 3, 1, 7, 3, 7, 2, 3, 5, 5, 1, 6, 8, 0, 0, 4, 9, 8, 9, 7, 9, 9, 3, 2, 6, 6, 8, 7, 2, 3, 1, 3, 1, 9, 4, 9, 1, 6, 4, 5, 5, 5, 0, 8, 9, 8, 0, 1, 6, 1, 6, 7, 4, 7, 9, 7, 4, 5, 9, 0, 7, 6, 0, 4, 7, 2, 5, 8, 7, 7, 2, 4, 0, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Pi
Eric Weisstein's World of Mathematics, Nested Radical
FORMULA
Equals (Pi + sqrt(Pi^2 + 4*Pi))/2.
EXAMPLE
3.9391277550080453570282162546637513413...
MATHEMATICA
RealDigits[(Pi + Sqrt[Pi^2 + 4 Pi])/2, 10, 120][[1]]
PROG
(PARI) (Pi + sqrt(Pi^2 + 4*Pi))/2 \\ Michel Marcus, Feb 21 2016
CROSSREFS
Sequence in context: A200607 A099319 A231828 * A179802 A010707 A097665
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Feb 21 2016
STATUS
approved

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Last modified July 20 18:59 EDT 2024. Contains 374459 sequences. (Running on oeis4.)