A105257 Cayley (or multiplication) table of S_3, the symmetric group on three letters, read by rows.

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)

Links

Table of n, a(n) for n=0..35.

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

Adjacent sequences: A105254 A105255 A105256 * A105258 A105259 A105260

Keyword

nonn,fini,full,tabf

Author

Roger L. Bagula, Apr 14 2005

Extensions

Edited by N. J. A. Sloane, Nov 09 2005

Status

approved