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A286393
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Number of inequivalent n X n matrices over GF(7) under action of dihedral group of the square D_4.
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6
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1, 7, 406, 5105212, 4154189102413, 167633579843887699759, 331466355732596931093508048522, 32115447190132359991237336502881651018804, 152470060954479462517322396167243320349298407119379801
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OFFSET
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0,2
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COMMENTS
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Burnside's orbit-counting lemma
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LINKS
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FORMULA
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a(n) = (1/8)*(7^(n^2) + 2*7^(n^2/4) + 3*7^(n^2/2) + 2*7^((n^2 + n)/2)) if n is even;
a(n) = (1/8)*(7^(n^2) + 2*7^((n^2 + 3)/4) + 7^((n^2 + 1)/2) + 4*7^((n^2 + n)/2)) if n is odd.
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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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