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Search: id:A105257
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| A105257 |
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Cayley (or multiplication) table of S_3, the symmetric group on three letters, read by rows. |
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+0
1
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| 1, 2, 3, 4, 5, 6, 2, 1, 4, 3, 6, 5, 3, 6, 5, 2, 1, 4, 4, 5, 6, 1, 2, 3, 5, 4, 1, 6, 3, 2, 6, 3, 2, 5, 4, 1
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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R. V. Andree, Selections from Modern Abstract Algebra, Henry Holt and Co., New York,1958, page 87, problem 13.
H. McKean and V. Moll, Elliptic Curves, Cambridge University Press, 1997, page 13. MR1471703 (98g:14032)
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FORMULA
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T[i, j]=f[f[t, i], j], {i, 1, 6}, {j, 1, 6} substitution of symbols for functions: f[t, i] --> i Matrix flattened to give a sequence.
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EXAMPLE
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1, 2, 3, 4, 5, 6
2, 1, 4, 3, 6, 5
3, 6, 5, 2, 1, 4
4, 5, 6, 1, 2, 3
5, 4, 1, 6, 3, 2
6, 3, 2, 5, 4, 1
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CROSSREFS
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Sequence in context: A037902 A037840 A165091 this_sequence A125937 A043266 A082120
Adjacent sequences: A105254 A105255 A105256 this_sequence A105258 A105259 A105260
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KEYWORD
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nonn,fini,full
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Apr 14 2005
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 09 2005
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