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A330301
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Number of chains of binary reflexive matrices of order n.
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7
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OFFSET
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0,3
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COMMENTS
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Also, the number of chains in the power set of (n^2-n) elements.
a(n) is the number of distinct n X n reflexive fuzzy matrices.
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REFERENCES
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S. Nkonkobe and V. Murali, A study of a family of generating functions of Nelsen-Schmidt type and some identities on restricted barred preferential arrangements, Discrete Math., Vol. 340(5) (2017), pp. 1122-1128.
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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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MAPLE
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# P are the polynomials defined in A007047.
a := n -> 2^(n^2-n)*subs(x=1/2, P(n^2-n, x)):
seq(a(n), n=0..7)
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MATHEMATICA
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Array[2 PolyLog[-(#^2-#), 1/2] - 1 &, 8, 0]
Table[2*PolyLog[-(n^2-n), 1/2] - 1, {n, 0, 19}]
Table[LerchPhi[1/2, -(n^2-n), 2]/2, {n, 0, 9}]
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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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