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A287649 Number of symmetric diagonal Latin squares of order 2n with constant first string. 1
0, 2, 64, 3612672, 82731715264512 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..5.

E. I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru (in Russian)

E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, Estimating of combinatorial characteristics for diagonal Latin squares, Recognition — 2017 (2017), pp. 98-100 (in Russian)

E. I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru, continuation (in Russian)

EXAMPLE

Horizontal plane symmetric diagonal Latin square:

0 1 2 3 4 5

4 2 0 5 3 1

5 4 3 2 1 0

2 5 4 1 0 3

3 0 1 4 5 2

1 3 5 0 2 4

Vertical plane symmetric diagonal Latin square:

0 1 2 3 4 5

4 2 5 0 3 1

3 5 1 2 0 4

5 3 0 4 1 2

2 4 3 1 5 0

1 0 4 5 2 3

CROSSREFS

Cf. A003191, A287650.

Sequence in context: A139772 A092238 A228252 * A229352 A229815 A273498

Adjacent sequences:  A287646 A287647 A287648 * A287650 A287651 A287652

KEYWORD

nonn,more

AUTHOR

Eduard I. Vatutin, May 29 2017

EXTENSIONS

a(5) calculated and added by Eduard I. Vatutin, S. E. Kochemazov and O. S. Zaikin, Jun 15 2017

STATUS

approved

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Last modified August 19 08:57 EDT 2017. Contains 290794 sequences.