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Search: id:A086407
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| A086407 |
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a[1]=1; a[n+1]=a[n]-1 if mod[prime[a[n]],6]=5, else a[n+1]=a[n]+4. |
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+0 3
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| 1, 5, 4, 8, 12, 16, 15, 14, 18, 22, 26, 25, 29, 33, 32, 31, 35, 34, 38, 42, 46, 50, 54, 53, 57, 56, 55, 54, 53, 57, 56, 55, 54, 53, 57, 56, 55, 54, 53, 57, 56, 55, 54, 53, 57, 56, 55, 54, 53, 57, 56, 55, 54
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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There is a cycle ...54,53,57,56,55,54,...
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EXAMPLE
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a(3)=4 because a(2)=5, prime[5]=11=1 (mod 6) and a(3)=a(2)-1
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MATHEMATICA
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b=1; Prepend[Table[b+=If[Mod[Prime[b], 6]\[Equal]5, -1, 4], {i, 32}], 1]
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CROSSREFS
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Cf. A086408, A086409.
Sequence in context: A023845 A166517 A051555 this_sequence A160427 A090124 A097943
Adjacent sequences: A086404 A086405 A086406 this_sequence A086408 A086409 A086410
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KEYWORD
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easy,nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Jul 18 2003
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