OFFSET
0,6
COMMENTS
I feel that this is an important sequence, but its definition is not clear to me. As an interim measure, the link gives some additional comments that the author sent me. - N. J. A. Sloane, Jun 29 2008
LINKS
Enrico T. Federighi, Notes on this sequence
Mathoverflow, Does the exponential function have a square root?
Mathoverflow, f(f(x))=exp(x)-1 and other...
FORMULA
Starting with (1-x+x^2-x^3-x^4), if x=sqrt(log(1.1)), this series would solve for f(-1/2)= .7640669761635259978040594 ... where 1.1^f(x)=f(x+1) and f(-1)=0.
Since the ratio of the absolute value of terms approaches sqrt(2.718281828...) the series converges whenever x<1/sqrt(2.718281828...).
CROSSREFS
KEYWORD
sign,frac,uned,obsc
AUTHOR
Enrico T. Federighi (rico125162(AT)aol.com), Feb 02 2004
STATUS
approved