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A057771 Number of loops (quasigroups with an identity element) of order n. 11
1, 1, 1, 2, 6, 109, 23746, 106228849, 9365022303540, 20890436195945769617, 1478157455158044452849321016 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

REFERENCES

A. Hulpke, P. Kaski and P. R. J. Ostergard, The number of Latin squares of order 11, Preprint, 2009.

LINKS

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.

CROSSREFS

Cf. A000315, A057991-A057994, A057996, A057995, A089925.

Sequence in context: A222854 A059088 A216151 * A056164 A156500 A231537

Adjacent sequences:  A057768 A057769 A057770 * A057772 A057773 A057774

KEYWORD

nonn,more,nice

AUTHOR

Christian G. Bower, Nov 01 2000

EXTENSIONS

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

STATUS

approved

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Last modified December 19 16:42 EST 2014. Contains 252236 sequences.