

A178163


Starting digits (after the leading "0.") of the smallest possible arbitrarilylong Type2 Trottlike Constant (see A178160 for definition).


2



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, 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, 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
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OFFSET

1,3


COMMENTS

0+1/(1+8/(1+1/(6+9/(1+1/(1+8/(1+1/(1+6/(1+1/(1+6/...))))))))) = 0.1181169111811161116...
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).


LINKS

Jon E. Schoenfield, Table of n, a(n) for n = 1..4000


EXAMPLE

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.


CROSSREFS

Cf. A091694, A113307, A178160.
Sequence in context: A021556 A172428 A248581 * A197110 A109571 A133823
Adjacent sequences: A178160 A178161 A178162 * A178164 A178165 A178166


KEYWORD

base,cons,nonn


AUTHOR

Jon E. Schoenfield, May 21 2010


STATUS

approved



