OFFSET
0,1
COMMENTS
For n=1,2,..., the largest n-digit numbers in A178160 are 9, 99, 991, 9919, etc., so a(1)=9, a(2)=9, a(3)=1, a(4)=9, etc.
The number of digits of agreement increases as more digits are used, but the ratio (digits of agreement divided by digits used) is between 0.31 and 0.32 when the number of digits used is between a few hundred and a few thousand; this rate of convergence is not nearly as good as that of the second Trott constant (A091694).
LINKS
Jon E. Schoenfield, Table of n, a(n) for n = 0..3999
EXAMPLE
0+9/(9+1/(9+9/(1+9/(9+9/(7+9/(8+9/(9+9/(3+7/(9+9/...))))))))) = 0.9919919997989993799...
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jon E. Schoenfield, May 21 2010
STATUS
approved