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Search: id:A051593
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| A051593 |
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Largest order of even permutation of n elements, or maximal order of element of alternating group A_n. |
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+0
17
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| 1, 1, 1, 3, 3, 5, 5, 7, 15, 15, 21, 21, 35, 35, 60, 105, 105, 105, 140, 210, 210, 420, 420, 420, 420, 840, 1155, 1260, 1365, 1540, 2310, 2520, 4620, 4620, 5460, 5460, 9240, 9240, 13860, 15015, 16380, 16380, 27720, 30030, 32760, 60060, 60060, 60060
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.
V. Jovovic, Some combinatorial characteristics of symmetric and alternating groups (in Russian), Belgrade, 1980, unpublished.
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FORMULA
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a(n)=max{ A000793(n-2), A051704(n-1), A051704(n) }, a(0)=a(1)=1.
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CROSSREFS
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Cf. A057742, A057743, A057740, A000793.
Sequence in context: A092316 A142456 A098508 this_sequence A046200 A063281 A117772
Adjacent sequences: A051590 A051591 A051592 this_sequence A051594 A051595 A051596
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KEYWORD
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nonn,nice,easy
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs)
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