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A104181 Let f(n)=mod(prime(n),12); then a(n) = binomial(prime(12),f(n)). +0
2
666, 7770, 435897, 10295472, 854992152, 37, 435897, 10295472, 854992152, 435897, 10295472, 37, 435897, 10295472, 854992152, 435897, 854992152, 37, 10295472, 854992152, 37, 10295472, 854992152, 435897, 37, 435897, 10295472, 854992152, 37 (list; graph; listen)
OFFSET

1,1

COMMENT

A type of cycling model for sequence based on the Mealy model for sequential machines: the function f is the memory element as a mapping and the binomial is the combinatorial part. It is called a Meally machine. Other mapping functions can be used in this general model for an n-symbol cycle.

REFERENCES

Taylor L. Booth, Sequential Machines and Automata Theory, John Wiley and Sons, Inc, 1967, see page 70.

MATHEMATICA

digits = 12 f[n_] = Mod[Prime[n], digits] a = Table[Binomial[Prime[digits], f[n]], {n, 1, 16*digits}]

CROSSREFS

Sequence in context: A062045 A043515 A051003 this_sequence A057564 A046694 A138563

Adjacent sequences: A104178 A104179 A104180 this_sequence A104182 A104183 A104184

KEYWORD

nonn

AUTHOR

R. L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 11 2005

EXTENSIONS

Edited and corrected by N. J. A. Sloane (njas(AT)research.att.com), Mar 09 2008

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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