OFFSET
1,1
COMMENTS
e is the natural logarithm base (see A001113 for decimal expansion).
FORMULA
Solution of y^2-y-e=0. [Hudson]
Closed form: (1 + sqrt(4e + 1))/2 [Alonso del Arte, Mar 23 2012]
EXAMPLE
2.2228702297210446706953870215765517723981138799367533...
MATHEMATICA
RealDigits[(1 + Sqrt[4E + 1])/2, 10, 100][[1]] (* Alonso del Arte, Mar 23 2012 *)
PROG
(PARI) default(realprecision, 100):t=0:for(n=1, 5000, t=sqrt(t+exp(1))):return(t)
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 23 2004
STATUS
approved