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A102818
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Array with row lengths of 16, rows indexed from n=3 to 9, columns from m=1 to 16, such that a(n,m) = A001035(m) modulo n. A001035 is the number of partially ordered sets with n labeled elements.
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1
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1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 4, 4, 1, 3, 4, 4, 1, 3, 4, 4, 1, 3, 4, 4, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 5, 2, 3, 5, 1, 3, 5, 2, 3, 5, 1, 3, 5, 2, 1, 3, 3, 3, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 3, 3, 1, 3, 1, 3, 1, 0, 4, 3, 1
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OFFSET
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3,18
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COMMENTS
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Conjectures (based on mod values up to n=99): the sequence A001035(m) is (pre)periodic modulo n for all n, the lengths of the ending periods mod n (except n=4) being given by A011773 (which is related to Carmichael's lambda function).
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LINKS
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Table of n, a(n) for n=3..107.
Carmichael Function
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MATHEMATICA
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seq = List[1, 3, 19, 219, 4231, 130023, 6129859, 431723379, 44511042511, 6611065248783, 1396281677105899, 414864951055853499, 171850728381587059351, 98484324257128207032183, 77567171020440688353049939, 83480529785490157813844256579] Table[Mod[seq, i], {i, 3, 9}]
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CROSSREFS
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Cf. A001035 A011773 A002322.
Sequence in context: A122845 A135203 A179804 * A010701 A174971 A122553
Adjacent sequences: A102815 A102816 A102817 * A102819 A102820 A102821
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KEYWORD
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nonn,uned
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AUTHOR
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Gerald McGarvey, Feb 26 2005
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STATUS
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approved
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