A052269 Number of n X n matrices over GF(3) up to row and column permutations.

1, 3, 27, 738, 90492, 64796982, 302752867740, 9610448114487414, 2130536585704570302966, 3379836486315342147630795474, 39197947672609240635681299333726499, 3385559039111928075792568062997302563515455, 2212558055097091715366351569353345370930731329332056

Offset

0,2

Links

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

OEIS Index to number of inequivalent matrices modulo permutation of row 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[...] = 3^Sum_{i, j>=1} (gcd(i,j)*s_i*t_j). - Christian G. Bower, Dec 18 2003

Prog

(PARI) A052269(n)=A353585(3, n, n) \\ M. F. Hasler, Apr 30 2022

Crossrefs

Cf. A002724, A052271, A052272, A091060.

Column k=3 of A246106.

Sequence in context: A038379 A047656 A193610 * A138525 A185149 A326086

Adjacent sequences: A052266 A052267 A052268 * A052270 A052271 A052272

Keyword

nonn

Author

Vladeta Jovovic, Feb 04 2000

Extensions

More terms from Alois P. Heinz, Jul 31 2014

Status

approved