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A071305 1/2 times the number of n X n 0..5 matrices M with MM' mod 6 = I, where M' is the transpose of M and I is the n x n identity matrix. 5
1, 8, 144, 27648, 37324800, 300987187200 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

From Petros Hadjicostas, Dec 16 2019: (Start)

For n = 2, here are the 2*a(2) = 16 2 x 2 matrices M with elements in {0,1,2,3,4,5} that satisfy MM'  mod 6 = I:

[[0,1],[1,0]]; [[0,1],[5,0]]; [[0,5],[1,0]]; [[0,5],[5,0]];

[[1,0],[0,1]]; [[1,0],[0,5]]; [[2,3],[3,2]]; [[2,3],[3,4]];

[[3,2],[2,3]]; [[3,2],[4,3]]; [[3,4],[2,3]]; [[3,4],[4,3]];

[[4,3],[3,2]]; [[4,3],[3,4]]; [[5,0],[0,1]]; [[5,0],[0,5]].

(End)

CROSSREFS

Cf. A071302, A071303, A071304, A071306, A071307, A071308, A071309, A071310.

Sequence in context: A024285 A111687 A231851 * A172150 A105046 A123812

Adjacent sequences:  A071302 A071303 A071304 * A071306 A071307 A071308

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 11 2002

STATUS

approved

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Last modified June 15 22:06 EDT 2021. Contains 345053 sequences. (Running on oeis4.)