

A178164


Decimal expansion of the largest arbitrarilylong Type2 Trottlike constant (see A178160 for definition).


3



9, 9, 1, 9, 9, 1, 9, 9, 9, 7, 9, 8, 9, 9, 9, 3, 7, 9, 9, 1, 1, 9, 9, 3, 2, 9, 9, 2, 9, 9, 9, 1, 9, 9, 9, 1, 5, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 1, 4, 9, 9, 1, 6, 9, 9, 1, 7, 9, 9, 1, 1, 9, 9, 1, 3, 9, 9, 1, 5, 9, 9, 1, 9, 9, 9, 1, 1, 9, 9, 6, 9, 9, 9, 1, 9, 9, 9, 4, 4, 9, 9, 1, 8, 9, 9, 1, 1, 9, 9, 1, 2, 9, 9, 2, 9
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OFFSET

0,1


COMMENTS

For n=1,2,..., the largest ndigit 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



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



AUTHOR



STATUS

approved



