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Search: id:A111397
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| A111397 |
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Composite numbers (modulo 3). |
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+0
2
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| 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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If you interpret this as a trinary number read as a decimal it would equal
~0.4124999703972179190135867434954940067125524729635148630103267345...
whose continued fraction expansion is 0,2,2,2,1,4,5278,131,4,2,2,2,2,1,24,12,1,1,7,552,1,2,1,...,.
with increasing partial quotients 2,4,5278,66292,274715,420778,625399,...
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FORMULA
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a(n) == A002808(n) (mod 3).
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MATHEMATICA
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Composite[n_] := FixedPoint[n + PrimePi[ # ] + 1 &, n]; Table[ Mod[Composite[n], 3], {n, 105}]
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CROSSREFS
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Cf. A073867.
Sequence in context: A089734 A035177 A070105 this_sequence A131743 A113686 A039997
Adjacent sequences: A111394 A111395 A111396 this_sequence A111398 A111399 A111400
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(at)rgwv.com, Nov 11 2005
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