OFFSET
1,1
COMMENTS
The solution of the equation is twice the value of a lower bound on randomly generated Fibonacci-like sequences.
LINKS
Eran Makover and Jeffrey McGowan, An elementary proof that random Fibonacci sequences grow exponentially, Journal of Number Theory, Volume 121, Issue 1, November 2006, Pages 40-44. (arXiv:math/0510159 [math.NT])
EXAMPLE
The solution of the equation is 2.2418965630344798557894...
MATHEMATICA
RealDigits[1/3 (1+(1/2 (119-3 Sqrt[1545]))^(1/3)+(1/2 (119+3 Sqrt[ 1545]))^(1/3)), 10, 120][[1]] (* Harvey P. Dale, Jun 09 2011 *)
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Stefan Steinerberger, Feb 13 2006
STATUS
approved