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A329712
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The number of rooted chains in the lattice of (0, 1) matrices of order n.
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0
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1, 2, 150, 14174522, 10631309363962710, 213394730876951551651166996282, 288398561903310939256721956218813835167026180310, 55313586130829865212025793302979452922870356482030868613037427298852922
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OFFSET
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0,2
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COMMENTS
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Also, the number of n X n distinct rooted fuzzy matrices.
The number of chains in the power set of n^2-elements such that the first term of the chains is either an empty set or a set of n^2-elements.
The number of chains in the collection of all binary (crisp or Boolean or logical) matrices of order n such that the first term of the chains is either null matrix or unit matrix.
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LINKS
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V. Murali and B. Makamba, Finite Fuzzy Sets, Int. J. Gen. Syst., Vol. 34 (1) (2005), pp. 61-75.
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FORMULA
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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