The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A057771

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A057771

Number of loops (quasigroups with an identity element) of order n.
(history; published version)

#32 by Alois P. Heinz at Sun Feb 02 21:30:04 EST 2020

STATUS

proposed

approved

#31 by Jon E. Schoenfield at Sun Feb 02 21:22:44 EST 2020

STATUS

editing

proposed

#30 by Jon E. Schoenfield at Sun Feb 02 21:22:38 EST 2020

LINKS

B. Brendan D. McKay, A. Meynert and W. Myrvold, <a href="http://users.cecs.anu.edu.au/~bdm/papers/ls_final.pdf">Small Latin Squares, Quasigroups and Loops</a>, J. Combin. Designs 15 (2007), no. 2, 98-119.

A. Hulpke, P. Petteri Kaski and P. Patric R. J. Ostergard, Östergård, <a href="http://dx.doi.org/10.1090/S0025-5718-2010-02420-2">The number of Latin squares of order 11</a>, Math. Comp. 80 (2011) 1197-1219.

STATUS

approved

editing

#29 by N. J. A. Sloane at Sun Oct 27 14:26:54 EDT 2019

STATUS

proposed

approved

#28 by Michel Marcus at Sun Oct 27 03:20:42 EDT 2019

STATUS

editing

proposed

#27 by Michel Marcus at Sun Oct 27 03:20:39 EDT 2019

CROSSREFS

Cf. A000315, A057991-, A057992, A057993, A057994, A057996, A057997, A057998, A089925.

STATUS

proposed

editing

#26 by Jianing Song at Sat Oct 26 22:39:28 EDT 2019

STATUS

editing

proposed

#25 by Jianing Song at Sat Oct 26 22:29:17 EDT 2019

DATA

0, 1, 1, 1, 2, 6, 109, 23746, 106228849, 9365022303540, 20890436195945769617, 1478157455158044452849321016

OFFSET

1,4

0,5

EXTENSIONS

a(0) prepended by Jianing Song, Oct 26 2019

STATUS

proposed

editing

Discussion

Sat Oct 26

22:39

Jianing Song: A loop must have an identity element, so I added a(0) = 0

#24 by Jianing Song at Sat Oct 26 22:12:31 EDT 2019

STATUS

editing

proposed

#23 by Jianing Song at Sat Oct 26 22:12:23 EDT 2019

CROSSREFS

Cf. A000315, A057991-A057994, A057996, A057995, A057997, A057998, A089925.

STATUS

approved

editing

Discussion

Sat Oct 26

22:12

Jianing Song: Fixed Cf.