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A345463
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Number of n X n matrices over GF(2) whose characteristic polynomial is irreducible.
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2
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2, 2, 48, 4032, 1935360, 2879815680, 23222833643520, 629183972848435200, 76669842195418919731200, 35461948770962722105432473600, 69793654310697320331920603401420800, 526981774867699711240400039137800880128000, 16622838761287803491875715175557341313583022080000
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OFFSET
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1,1
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LINKS
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FORMULA
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MATHEMATICA
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nn = 12; A001037 = Table[1/n Sum[MoebiusMu[n/d] 2^d, {d, Divisors[n]}], {n, 1,
nn}] Table[Product[2^n - 2^i, {i, 0, n - 1}], {n, 1, nn}]/ Table[2^n - 1, {n, 1, nn}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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