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A104217
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Period of Perrin (0,2,3,2,5,5,..., A001608) sequence mod n.
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1
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1, 7, 13, 14, 24, 91, 48, 28, 39, 168, 120, 182, 183, 336, 312, 56, 288, 273, 180, 168, 624, 840, 22, 364, 120, 1281, 117, 336, 871, 2184, 993, 112, 1560, 2016, 48, 546, 1368, 1260, 2379, 168, 1723, 4368, 231, 840, 312, 154, 2257, 728, 336, 840, 3744, 2562
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| It appears that the n such that a(n) divides n-1 is the set of primes of the form x^2+23y^2 (A033217). The discriminant of the characteristic polynomial of the Perrin sequence is -23. - T. D. Noe, Feb 23 2007
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REFERENCES
| Analogy to A001175, Pisano periods (or Pisano numbers): period of Fibonacci numbers mod n AND to A046738 for Perrin sequence, where a(n)=a(n-2)+a(n-3)
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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MATHEMATICA
| Table[a={0, 2, 3}; a=a0=Mod[a, n]; k=0; While[k++; s=a[[2]]+a[[1]]; a=RotateLeft[a]; a[[ -1]]=Mod[s, n]; a!=a0]; k, {n, 100}] - T. D. Noe (noe(AT)sspectra.com), Oct 10 2006
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CROSSREFS
| Cf. A001175, A046738 and Perrin sequence A001608.
Sequence in context: A050931 A072864 A120100 * A191976 A135054 A076701
Adjacent sequences: A104214 A104215 A104216 * A104218 A104219 A104220
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KEYWORD
| nonn
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AUTHOR
| Anthony C Robin (anthony_robin(AT)hotmail.com), Mar 14 2005
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EXTENSIONS
| More terms from T. D. Noe (noe(AT)sspectra.com), Oct 10 2006
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