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 A112579 Number of 3-D arrays of 0's and 1's with plane sums 2. 2
 0, 8, 900, 366336, 378028800, 833156928000, 3477528928742400, 25183876050321408000, 296058177312000019660800, 5362158372805111867637760000, 143458227395428379364635443200000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES P. J. Cameron and T. W. Mueller, Decomposable functors and the exponential principle, II, in preparation LINKS P. J. Cameron and T. W. Mueller, Decomposable functors and the exponential principle, II, arXiv:0911.3760 [math.CO] FORMULA a(n) = b(n) + Sum (k/n)*(n choose k)^3*b(k)*a(n-k), where b(n) counts indecomposable arrays (A112578). EXAMPLE a(2)=8: six pairs of opposite edges and two inscribed tetrahedra. CROSSREFS Cf. A001499 (2-D case), A112578, A112580. Sequence in context: A265239 A290023 A112578 * A064072 A146536 A189646 Adjacent sequences:  A112576 A112577 A112578 * A112580 A112581 A112582 KEYWORD nonn,easy AUTHOR Peter J. Cameron, Sep 14 2005 STATUS approved

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Last modified June 30 03:34 EDT 2022. Contains 354913 sequences. (Running on oeis4.)