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A004147 Number of n-state Turing machines which halt.
(Formerly M5233)
6

%I M5233 #28 May 17 2023 14:41:24

%S 32,9784,7571840,11140566368

%N Number of n-state Turing machines which halt.

%C This sequence is noncomputable, because it could be used to solve the halting problem. In fact, it is of the same degree of difficulty as the halting problem. - David Diamondstone (skeptical.scientist(AT)gmail.com), Dec 28 2007

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H J. P. Jones, <a href="http://www.jstor.org/stable/2319560">Recursive undecidability - an exposition</a>, Amer. Math. Monthly, 81 (1974), 724-738.

%H H. Marxen, <a href="http://turbotm.de/~heiner/BB/">Busy Beaver</a>

%H Michael Somos, <a href="https://grail.eecs.csuohio.edu/~somos/bb.html">Busy Beaver Turing Machine</a>

%H Michael Somos, <a href="https://grail.eecs.csuohio.edu/~somos/busy.html">Busy Beaver</a>

%H <a href="/index/Br#beaver">Index entries for sequences related to Busy Beaver problem</a>

%Y Cf. A028444, A052200.

%K nonn,nice,hard,bref

%O 1,1

%A _N. J. A. Sloane_

%E More terms from David Diamondstone (skeptical.scientist(AT)gmail.com), Dec 28 2007

%E a(4) from _Jonathan Lee_, who enumerated all 25.6 billion 4-state machines up to 107 steps, Mar 05 2016

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)