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A264603 Number of structurally distinct Latin squares of order n. 1
1, 1, 1, 12, 192, 145164, 1524901344 (list; graph; refs; listen; history; text; internal format)



"Structurally distinct" means that the squares cannot be made identical by means of rotation, reflection, and/or permutation of the symbols.  For other notions of distinctness, see A000479 and A040082.


Hendrik Willem Barink, Email to N. J. A. Sloane, Nov 22 2015


Table of n, a(n) for n=1..7.

Hendrik Willem Barink, How many structurally different latin squares do exist?

Mathematics Stack Exchange, How many structurally different latin squares of order 5 exist?

Mathematics Stack Exchange, How many structurally distinct Latin squares are there of order 7?

Index entries for sequences related to Latin squares and rectangles


Cf. A000479, A040082.

Sequence in context: A061065 A210356 A328261 * A296841 A296942 A159498

Adjacent sequences:  A264600 A264601 A264602 * A264604 A264605 A264606




N. J. A. Sloane, Nov 23 2015


a(7) from MSE link, added by Max Alekseyev, Sep 01 2017



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Last modified December 8 12:31 EST 2019. Contains 329864 sequences. (Running on oeis4.)