%I
%S 1,1,8,1,1,6,9,1,1,1,8,1,1,1,6,1,1,1,6,1,1,1,5,1,1,1,5,1,1,1,5,1,1,1,
%T 7,1,1,1,5,1,1,1,6,1,1,3,9,1,1,1,6,1,1,1,4,1,1,1,4,1,1,1,4,1,1,1,2,1,
%U 1,3,8,1,1,8,9,1,1,1,5,1,1,1,9,1,1,1,7,1,1,1,5,1,1,2,9,1,1,8,9,1,1,5,9,1,1
%N Starting digits (after the leading "0.") of the smallest possible arbitrarilylong Type2 Trottlike Constant (see A178160 for definition).
%C 0+1/(1+8/(1+1/(6+9/(1+1/(1+8/(1+1/(1+6/(1+1/(1+6/...))))))))) = 0.1181169111811161116...
%C The number of digits of agreement increases as more digits are used, but the ratio (digits of agreement divided by digits used) is between 0.25 and 0.26 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).
%H Jon E. Schoenfield, <a href="/A178163/b178163.txt">Table of n, a(n) for n = 1..4000</a>
%e For n=1,2,..., the smallest ndigit numbers in A178160 are 1, 11, 118, 1181, etc., so a(1)=1, a(2)=1, a(3)=8, a(4)=1, etc.
%Y Cf. A091694, A113307, A178160.
%K base,cons,nonn
%O 1,3
%A _Jon E. Schoenfield_, May 21 2010
