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A052271 Number of n X n matrices over GF(4) under row and column permutations. 11

%I #22 May 02 2022 10:31:48

%S 1,4,76,8240,7880456,79846389608,9178323524804624,

%T 12508419942924578958856,209493560585995285291677153144,

%U 44407122853769773657258254744483639216,122042291850117110186411151373496788803833567344,4435666701292795500500326090033525002278314431436080593856

%N Number of n X n matrices over GF(4) under row and column permutations.

%H Alois P. Heinz, <a href="/A052271/b052271.txt">Table of n, a(n) for n = 0..26</a>

%H <a href="/index/Mat#inequiv">Index to number of inequivalent matrices modulo permutation of rows and columns</a>

%F 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[...] = 4^sum_{i, j>=1} (gcd(i,j)*s_i*t_j). - _Christian G. Bower_, Dec 18 2003

%Y Cf. A002724, A052269, A052272, A091061.

%Y Column k=4 of A246106.

%K nonn

%O 0,2

%A _Vladeta Jovovic_, Feb 05 2000

%E More terms from _Alois P. Heinz_, Jul 31 2014

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)