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Search: id:A091261
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| A091261 |
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Number of orthogonal mates for the cyclic Latin squares of odd order. |
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+0
4
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OFFSET
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3,2
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COMMENT
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It is well known that the Cayley table of the cyclic group of order n has no orthogonal mate whenever n is even. This sequence reports the number of standardized orthogonal mates when n is odd, starting at n=3 (the case n=1 being meaningless). The word "standardized" refers to the fact that we only count mates which have their first row in natural order, since relabeling of the symbols in the orthogonal mate does not affect its defining property.
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REFERENCES
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B. M. Maenhaut and I. M. Wanless, Atomic Latin squares of order eleven, J. Combin. Designs, Vol. 12 (2004), pp. 12-34.
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CROSSREFS
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Cf. A001438.
Adjacent sequences: A091258 A091259 A091260 this_sequence A091262 A091263 A091264
Sequence in context: A137136 A137126 A140029 this_sequence A092301 A059120 A013826
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KEYWORD
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hard,nonn
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AUTHOR
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Ian M. Wanless (imw(AT)cs.anu.edu.au), Feb 23 2004
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