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Search: id:A106309
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| A106309 |
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Primes that yield a simple orbit structure in 5-step recursions. |
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+0
3
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| 5, 7, 11, 13, 17, 31, 37, 41, 53, 79, 107, 199
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Consider the 5-step recursion x(k)=x(k-1)+x(k-2)+x(k-3)+x(k-4)+x(k-5) mod n. For any of the n^5 initial conditions x(1), x(2), x(3), x(4) and x(5) in Zn, the recursion has a finite period. When n is a prime in this sequence, all of the orbits, except the one containing (0,0,0,0,0), have the same length.
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LINKS
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Eric Weisstein's World of Mathematics, Fibonacci n-Step
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CROSSREFS
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Cf. A106287 (orbits of 5-step sequences).
Sequence in context: A102386 A038958 A109416 this_sequence A114262 A007529 A108409
Adjacent sequences: A106306 A106307 A106308 this_sequence A106310 A106311 A106312
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), May 02 2005, revised May 12 2005
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