login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A178163 Starting digits (after the leading "0.") of the smallest possible arbitrarily-long Type-2 Trott-like Constant (see A178160 for definition). 2

%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 arbitrarily-long Type-2 Trott-like 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 n-digit 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 1 03:52 EDT 2021. Contains 346384 sequences. (Running on oeis4.)