A100939 Decimal expansion of the nested surd Pi-thRoot[1 + Pi-thRoot[1 + Pi-thRoot[1 + ...]]].

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

Offset

1,2

Links

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

Formula

Equals (1+(1+(1+(1+...)^(1/Pi))^(1/Pi))^(1/Pi))^(1/Pi).

Example

1.3043815470074755867380476353083049534542599222350582503629508065478754...

Prog

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

Crossrefs

Cf. A100940 for continued fraction of this constant, A094689 for the constant derived from analogous expression with Pi replaced by e.

Sequence in context: A243920 A344905 A181839 * A099925 A351002 A201563

Adjacent sequences: A100936 A100937 A100938 * A100940 A100941 A100942

Keyword

cons,nonn

Author

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

Extensions

Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, Jun 08 2007

Status

approved