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A286394
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Number of inequivalent n X n matrices over GF(8) under action of dihedral group of the square D_4.
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5
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1, 8, 666, 16912512, 35184646816768, 4722366500530551259136, 40564819207305653446303190876160, 22300745198530623151211847196048401987796992, 784637716923335095479473759060307277562325323313332617216
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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)*(8^(n^2) + 2*8^(n^2/4) + 3*8^(n^2/2) + 2*8^((n^2 + n)/2)) if n is even;
a(n) = (1/8)*(8^(n^2) + 2*8^((n^2 + 3)/4) + 8^((n^2 + 1)/2) + 4*8^((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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