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A052200 Number of n-state 2-symbol 5-tuple Turing machines. +0
6
1, 64, 20736, 16777216, 25600000000, 63403380965376, 232218265089212416, 1180591620717411303424, 7958661109946400884391936, 68719476736000000000000000000, 739696442014594807059393047166976, 9711967541295580042210555933809967104, 152784834199652075368661148843397208866816 (list; graph; listen)
OFFSET

0,2

COMMENT

This sequence is computable. On the other hand, the busy beaver numbers are non-calculatable, found only by examining each of the many n-state Turing machine programs' halting. - Michael Joseph Halm (hierogamous(AT)lycos.com), Apr 29 2003

REFERENCES

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

LINKS

M. Somos, The Busy Beaver Problem

Index entries for sequences related to Busy Beaver problem

FORMULA

a(n) = (4*(n+1))^(2*n)

EXAMPLE

a(1) = 64 = (4*1+4)^(2*1) = 8^2

CROSSREFS

Cf. A028444, A004147, A060843.

Sequence in context: A089208 A083282 A082502 this_sequence A146517 A009497 A145258

Adjacent sequences: A052197 A052198 A052199 this_sequence A052201 A052202 A052203

KEYWORD

nonn,easy

AUTHOR

Michael Somos, Jan 28 2000

EXTENSIONS

Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Feb 08 2007

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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