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A277265 Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat n*k married couples at n unlabeled round tables with 2*k unlabeled seats each, such that (i) the gender of persons alternates around each table; and (ii) spouses do not sit next to each other. 2
0, 1, 0, 2, 12, 2, 9, 1200, 3280, 12, 44, 498960, 97193600, 5972400, 312, 265, 415981440, 14591060915200, 73866846715200, 31918489344, 9600, 1854, 615853022400, 7390721380256614400, 9022243072072662432000, 287350869074488547328, 393956489203200, 416880, 14833, 1477095102362880 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

For labeled version, see A277257.

LINKS

Table of n, a(n) for n=1..30.

FORMULA

T(n,k) = A277256(n,k) * (n*k)! / n! / k^n.

EXAMPLE

Table T(n,k):

n=1: 0, 0, 2, 12, 312, 9600, ...

n=2: 1, 12, 3280, 5972400, ...

n=3: 2, 1200, 97193600, ...

n=4: 9, 498960, 14591060915200, ...

...

CROSSREFS

Cf. A094047 (row n=1), A000166 (column k=1), A277256, A277257.

Sequence in context: A227830 A299521 A167164 * A263631 A010239 A320975

Adjacent sequences:  A277262 A277263 A277264 * A277266 A277267 A277268

KEYWORD

nonn,tabl

AUTHOR

Max Alekseyev, Oct 07 2016

STATUS

approved

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Last modified May 18 04:22 EDT 2021. Contains 343994 sequences. (Running on oeis4.)