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A004147 Number of n-state Turing machines which halt.
(Formerly M5233)
3
32, 9784, 7571840 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

REFERENCES

J. P. Jones, Recursive undecidability - an exposition, Amer. Math. Monthly, 81 (1974), 724-738.

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

LINKS

H. Marxen, Busy Beaver

M. Somos, Busy Beaver Turing Machine

M. Somos, Busy Beaver

Index entries for sequences related to Busy Beaver problem

CROSSREFS

Cf. A028444, A052200.

Sequence in context: A159679 A139568 A139294 * A069444 A187240 A062315

Adjacent sequences:  A004144 A004145 A004146 * A004148 A004149 A004150

KEYWORD

nonn,nice,hard,bref

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

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

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Last modified February 15 08:43 EST 2012. Contains 205734 sequences.