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A259049 Number of self-complementary plane partitions in a (2n)-cube. 1
1, 4, 400, 960400, 54218191104, 71410553858811024, 2186315392560559723530496, 1552832545847343203950118294425600, 25554649541466337940020968722797075170918400, 9736551559782513812975251884508283964266367033264640000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Odd cubes have no self-complementary plane partitions.

LINKS

Table of n, a(n) for n=0..9.

R. P. Stanley, Symmetries of Plane Partitions, J. Comb. Theory Ser. A 43 (1986), 103-113.

P. J. Taylor, Counting distinct dimer hex tilings, Preprint, 2015.

FORMULA

a(n) = Product_{i=0..n-1} i!^2 (i+2n)!^2 / (i+n)!^4.

a(n) = A008793(n)^2.

PROG

(PARI) a(n) = prod(i=0, n-1, i!^2*(i+2*n)!^2 / (i+n)!^4) \\ Michel Marcus, Jun 18 2015

CROSSREFS

Cf. A008793.

Sequence in context: A202172 A349460 A158111 * A280791 A198709 A326209

Adjacent sequences: A259046 A259047 A259048 * A259050 A259051 A259052

KEYWORD

nonn,easy

AUTHOR

Peter J. Taylor, Jun 17 2015

STATUS

approved

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Last modified December 7 17:16 EST 2022. Contains 358668 sequences. (Running on oeis4.)