login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A079365 Binary expansion of the Chaitin Omega number Omega_U. 5

%I

%S 0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,

%T 0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0

%N Binary expansion of the Chaitin Omega number Omega_U.

%C This is the halting probability of a certain universal Chaitin (self-delimiting Turing) machine U.

%C The full (infinite precision) number is random and noncomputable.

%C The machine used is NOT universal, since each data bit is given in ASCII and contributes 7 bits to the program length. - _John Tromp_, Mar 23 2009

%D G. J. Chaitin, THE LIMITS OF MATHEMATICS, Springer-Verlag London, 2003, http://www.umcs.maine.edu/~chaitin/inv.html - _John Tromp_, Mar 23 2009

%H C. C. Calude, M. J. Dinneen and C.-K. Shu, <a href="http://www.emis.de/journals/EM/expmath/volumes/11/11.html">Computing a glimpse of randomness</a>, Exper. Math., 11 (2002), 361-370.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ChaitinsConstant.html">Chaitin's Constant</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%K nonn,nice,cons,base,hard

%O 0,1

%A _N. J. A. Sloane_, Feb 15 2003

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 December 12 07:00 EST 2019. Contains 329948 sequences. (Running on oeis4.)