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Search: id:A137751
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| A137751 |
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a(n) = number of missing residues in the Fibonacci sequence mod the n-th prime number. |
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+0
2
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| 0, 0, 0, 0, 4, 4, 4, 7, 4, 19, 12, 8, 22, 10, 32, 16, 22, 36, 16, 27, 16, 30, 20, 72, 28, 66, 24, 74, 60, 80, 30, 49, 28, 106, 88, 114, 44, 40, 40, 36, 67, 119, 72, 44, 48, 183, 181, 54, 56, 149, 212, 90, 138, 94, 64, 178, 156, 102
(list; graph; listen)
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OFFSET
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1,5
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LINKS
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Casey Mongoven, Absent 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 4 residues which do not occur in this sequence, namely {4,6,7,9}. So a(5) = 4.
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CROSSREFS
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Cf. A118965, A137750, A000045.
Adjacent sequences: A137748 A137749 A137750 this_sequence A137752 A137753 A137754
Sequence in context: A097918 A141466 A023958 this_sequence A010658 A128939 A105352
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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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