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A052269 Number of n X n matrices over GF(3) under row and column permutations. 5
1, 3, 27, 738, 90492, 64796982, 302752867740, 9610448114487414, 2130536585704570302966, 3379836486315342147630795474, 39197947672609240635681299333726499, 3385559039111928075792568062997302563515455, 2212558055097091715366351569353345370930731329332056 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

a(n) = sum_{1*s_1+2*s_2+...=n, 1*t_1+2*t_2+...=n} (fix A[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 fix A[...] = 3^sum_{i, j>=1} (gcd(i,j)*s_i*t_j). - Christian G. Bower, Dec 18 2003

CROSSREFS

Cf. A002724, A052271, A052272, A091060.

Column k=3 of A246106.

Sequence in context: A038379 A047656 A193610 * A138525 A185149 A194500

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

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Last modified May 25 22:17 EDT 2019. Contains 323576 sequences. (Running on oeis4.)