A100945 Decimal expansion of the nested surd Sqrt[Pi + CubeRoot[Pi + 4thRoot[Pi + 5thRoot[Pi + ...]]]].

2, 1, 9, 1, 8, 8, 1, 2, 9, 1, 9, 1, 6, 0, 2, 5, 7, 5, 8, 1, 6, 4, 5, 9, 3, 6, 1, 8, 7, 9, 4, 7, 5, 3, 4, 5, 6, 9, 7, 6, 9, 6, 2, 7, 5, 2, 8, 9, 8, 2, 4, 3, 6, 2, 2, 9, 6, 0, 3, 5, 1, 1, 5, 7, 3, 3, 2, 2, 1, 8, 6, 5, 2, 9, 9, 6, 1, 7, 5, 4, 0, 3, 8, 9, 6, 2, 3, 8, 2, 9, 5, 4, 1, 2, 1, 5, 8, 1, 8, 2

Offset

1,1

Links

Table of n, a(n) for n=1..100.

Formula

(Pi+(Pi+(Pi+(Pi+...)^(1/5))^(1/4))^(1/3))^(1/2)

Example

2.19188129191602575816459361879475345697696275289824362296035...

Prog

(PARI) default(realprecision, 100):t=0:forstep(n=1000, 1, -1, t=(t+Pi)^(1/(n+1))):return(t)

Crossrefs

Cf. A100946 for continued fraction.

Sequence in context: A316711 A187549 A261124 * A133399 A128751 A129168

Adjacent sequences: A100942 A100943 A100944 * A100946 A100947 A100948

Keyword

cons,nonn

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 23 2004

Status

approved