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A105257
Cayley (or multiplication) table of S_3, the symmetric group on three letters, read by rows.
0
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
OFFSET
0,2
REFERENCES
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)
FORMULA
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.
EXAMPLE
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
CROSSREFS
Sequence in context: A037840 A165091 A192514 * A125937 A173526 A245342
KEYWORD
nonn,fini,full,tabf
AUTHOR
Roger L. Bagula, Apr 14 2005
EXTENSIONS
Edited by N. J. A. Sloane, Nov 09 2005
STATUS
approved