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A259049
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Number of self-complementary plane partitions in a (2n)-cube.
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1
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1, 4, 400, 960400, 54218191104, 71410553858811024, 2186315392560559723530496, 1552832545847343203950118294425600, 25554649541466337940020968722797075170918400, 9736551559782513812975251884508283964266367033264640000
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OFFSET
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0,2
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COMMENTS
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Odd cubes have no self-complementary plane partitions.
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LINKS
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FORMULA
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a(n) = Product_{i=0..n-1} i!^2 (i+2n)!^2 / (i+n)!^4.
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PROG
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(PARI) a(n) = prod(i=0, n-1, i!^2*(i+2*n)!^2 / (i+n)!^4) \\ Michel Marcus, Jun 18 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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