A052272 Number of n X n matrices over GF(5) under row and column permutations.

1, 5, 175, 57675, 270656150, 20834113243925, 28125393244553141210, 699686291478538604891895515, 333504381764054807093590006199733915, 3140944762272022074073055438393255181867210010, 599071101908675118606355537962231556550216893297767505350

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..26

Index to number of inequivalent matrices modulo permutation of rows and columns

Formula

a(n) = sum_{1*s_1+2*s_2+...=n, 1*t_1+2*t_2+...=n} (fixA[s_1, s_2, ...;t_1, t_2, ...]/(1^s_1*s_1!*2^s_2*s_2!*...*1^t_1*t_1!*2^t_2*t_2!*...)) where fixA[...] = 5^sum_{i, j>=1} (gcd(i, j)*s_i*t_j). - Christian G. Bower, Dec 18 2003

Crossrefs

Cf. A002724, A052269, A052271, A091062.

Column k=5 of A246106.

Sequence in context: A300590 A027873 A203529 * A111515 A157204 A248383

Adjacent sequences: A052269 A052270 A052271 * A052273 A052274 A052275

Keyword

nonn

Author

Vladeta Jovovic, Feb 05 2000

Status

approved