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Search: id:A137750
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| A137750 |
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a(n) = number of unique residues in the Fibonacci sequence mod the nth prime number. |
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+0
2
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| 2, 3, 5, 7, 7, 9, 13, 12, 19, 10, 19, 29, 19, 33, 15, 37, 37, 25, 51, 44, 57, 49, 63, 17, 69, 35, 79, 33, 49, 33, 97, 82, 109, 33, 61, 37, 113, 123, 127, 137, 112, 62, 119, 149, 149, 16, 30, 169, 171, 80, 21, 149, 103, 157, 193, 85
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Casey Mongoven, Unique Residues Primes no. 1; electro-acoustic music created with this sequence.
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EXAMPLE
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The 5th prime number is 11. The Fibonacci sequence mod 11 is {0,1,1,2,3,5,8,2,10,1,0,1,...} - a periodic sequence. There are 7 unique residues in this sequence, namely {0,1,2,3,5,8,10}. So a(5) = 7.
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CROSSREFS
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Cf. A066853, A137751, A000045.
Sequence in context: A122637 A076229 A160102 this_sequence A156900 A039734 A020482
Adjacent sequences: A137747 A137748 A137749 this_sequence A137751 A137752 A137753
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KEYWORD
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nonn
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AUTHOR
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Casey Mongoven (cm(AT)caseymongoven.com), Feb 10 2008
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