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Search: id:A091057
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A091057 Number of n X n matrices over symbol set {1,...,n^2} equivalent under any permutation of row, columns or the symbol set. +0
7
1, 1, 9, 777, 18500104, 322286625959257, 7368376339801908226685191 (list; graph; listen)
OFFSET

0,3

LINKS

C. G. Bower, Explanation of A091057-A091062

FORMULA

a(n) = sum {1*s_1+2*s_2+...=n, 1*t_1+2*t_2+...=n, 1*u_1+2*u_2+...=n} (fix A[s_1, s_2, ...;t_1, t_2, ...;u_1, u_2, ...]/(1^s_1*s_1!*2^s_2*s_2!*...*1^t_1*t_1!*2^t_2*t_2!*...*1^u_1*u_1!*2^u_2*u_2!*...)) where fix A[...] = prod {i, j>=1} ( (sum {d|lcm(i, j)} (d*u_d))^(gcd(i, j)*s_i*t_j))

CROSSREFS

Cf. A091058-A091062.

Sequence in context: A145183 A124417 A159356 this_sequence A137065 A015025 A027878

Adjacent sequences: A091054 A091055 A091056 this_sequence A091058 A091059 A091060

KEYWORD

nonn,more

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Dec 17 2003

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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