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A091062
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Number of n X n matrices over symbol set {1,2,3,4,5} equivalent under any permutation of row, columns or the symbol set.
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7
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1, 1, 9, 649, 2283123, 173636442196, 234378355489344704, 5830719097591168695360621, 2779203181367458204944451774688032, 26174539685600184383643311230836752183522328
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| C. G. Bower, Explanation of A091057-A091062
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FORMULA
| a(n) = sum {1*s_1+2*s_2+...=n, 1*t_1+2*t_2+...=n, 1*u_1+2*u_2+...=5} (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))
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CROSSREFS
| Cf. A091057-A091061.
Sequence in context: A191510 A081232 A020548 * A015007 A054327 A053973
Adjacent sequences: A091059 A091060 A091061 * A091063 A091064 A091065
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Dec 17 2003
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