A086829 Number of n X n matrices on n^2 distinct symbols modulo rotations and reflections.

1, 3, 45360, 2615348736000, 1938901255416373248000000, 46499165848737652183499931018854400000000, 76035233004283445109031520415161922110944103922401280000000000

Offset: 1

Author

Eric W. Weisstein, Aug 08 2003

Keywords

• nonn
• easy

Comments

Also the number of distinct adjacency matrices on the n X n grid graph P_n x P_n. - Eric W. Weisstein, May 01 2017

Links

• Eric Weisstein's World of Mathematics, Adjacency Matrix
• Eric Weisstein's World of Mathematics, Grid Graph
• Eric Weisstein's World of Mathematics, Square Matrix

Crossrefs

Cf. A087074.

Programs

Mathematica

Table[Piecewise[{{1, n == 1}}, (n^2)!/8], {n, 7}]

Formula

a(n) = (n^2)!/8, n>1. - Vladeta Jovovic, Aug 10 2003

Extensions

More terms from Sam Alexander, Feb 27 2004