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A057771
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Number of loops (quasigroups with an identity element) of order n.
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11
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1, 1, 1, 2, 6, 109, 23746, 106228849, 9365022303540, 20890436195945769617, 1478157455158044452849321016
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OFFSET
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1,4
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REFERENCES
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A. Hulpke, P. Kaski and P. R. J. Ostergard, The number of Latin squares of order 11, Preprint, 2009.
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LINKS
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Table of n, a(n) for n=1..11.
Index entries for sequences related to quasigroups
B. D. McKay, A. Meynert and W. Myrvold, Small Latin Squares, Quasigroups and Loops, J. Combin. Designs 15 (2007), no. 2, 98-119.
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CROSSREFS
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Cf. A000315, A057991-A057994, A057996, A057995, A089925.
Sequence in context: A222854 A059088 A216151 * A056164 A156500 A075391
Adjacent sequences: A057768 A057769 A057770 * A057772 A057773 A057774
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KEYWORD
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nonn,more,nice
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AUTHOR
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Christian G. Bower, Nov 01 2000
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EXTENSIONS
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a(8) from Juergen Buntrock (jubu(AT)jubu.com), Nov 03 2003.
Two more terms (from the McKay-Meynert-Myrvold article) from Richard Bean (rwb(AT)eskimo.com), Feb 17 2004
There are 1478157455158044452849321016 isomorphism classes of loops of order 11. - Petteri Kaski (petteri.kaski(AT)cs.helsinki.fi), Sep 18 2009
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STATUS
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approved
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