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A000794
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Permanent of projective plane of order n.
(Formerly M2143 N2248)
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2
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OFFSET
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1,2
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REFERENCES
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H. J. Ryser, Combinatorial Mathematics. Mathematical Association of America, Carus Mathematical Monograph 14, 1963, p. 124.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=1..6.
Shamil Asgarli, Brian Freidin, On the proportion of transverse-free plane curves, arXiv:2009.13421 [math.AG], 2020.
Georg Muntingh, Sage code for constructing the incidence matrix of the projective plane over a finite field of order n, and its permanent.
Georg Muntingh, Incidence matrix of a projective plane over a finite field of order 2, 3, 4, 5, 7, 8, and 9.
P. J. Nikolai, Permanents of incidence matrices, Math. Comp., 14 (1960), 262-266.
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EXAMPLE
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From Georg Muntingh, Feb 03 2014: (Start)
The projective plane over a finite field of order 2 has 7 points and 7 lines, for instance meeting with the incidence matrix
[1 0 0 1 1 0 0]
[0 1 1 0 1 0 0]
[1 0 1 0 0 1 0]
[0 1 0 1 0 1 0]
[0 0 1 1 0 0 1]
[1 1 0 0 0 0 1]
[0 0 0 0 1 1 1]
which has permanent 24. (End)
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CROSSREFS
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Sequence in context: A111430 A355561 A059332 * A159907 A242484 A088912
Adjacent sequences: A000791 A000792 A000793 * A000795 A000796 A000797
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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a(6) from Georg Muntingh, Feb 03 2014
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STATUS
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approved
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