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