

A337302


Number of Xbased filling of diagonals in a diagonal Latin square of order n with the main diagonal in ascending order.


3



1, 1, 0, 0, 4, 4, 80, 80, 4752, 4752, 440192, 440192, 59245120, 59245120, 10930514688, 10930514688, 2649865335040, 2649865335040, 817154768973824, 817154768973824, 312426715251262464, 312426715251262464, 145060238642780180480, 145060238642780180480
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OFFSET

0,5


COMMENTS

Used for getting strong canonical forms (SCFs) of the diagonal Latin squares and for fast enumerating of the diagonal Latin squares based on equivalence classes.
For all t > 0, a(2*t) = a(2*t+1).


LINKS



FORMULA



EXAMPLE

For n=4 there are 4 different Xbased fillings of diagonals with main diagonal fixed to [0 1 2 3]:
0 . . 1 0 . . 1 0 . . 2 0 . . 2
. 1 0 . . 1 3 . . 1 0 . . 1 3 .
. 3 2 . . 0 2 . . 3 2 . . 0 2 .
2 . . 3 2 . . 3 1 . . 3 1 . . 3


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



