A268580 Decimal expansion of sqrt(Pi + Pi*sqrt(Pi + Pi*sqrt(Pi + ...))).

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

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

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

Cf. A000796, A100941, A189970.

Sequence in context: A200607 A099319 A231828 * A179802 A010707 A097665

Adjacent sequences: A268577 A268578 A268579 * A268581 A268582 A268583

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Feb 21 2016

Status

approved