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A204041
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Square Gaussian integer factorial, product of all Gaussian integers except 0 having a real or imaginary part less than or equal to n.
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3
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OFFSET
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1,1
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COMMENTS
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This is called "square" because the Gaussian integers involved here form a square on the complex plane.
All terms are purely real integers, but a(6) has more than a hundred digits.
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LINKS
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EXAMPLE
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a(1) = 1 * (1 + i) * i * (-1 + i) * -1 * (-1 - i) * -i * (1 - i) = -4.
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MATHEMATICA
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Table[Times@@ReplaceAll[Flatten[Table[a + b I, {a, -n, n}, {b, -n, n}]], 0 -> 1], {n, 10}]
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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