A000794 Permanent of projective plane of order n.

1, 2, 24, 3852, 18534400, 4598378639550

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• more

Examples

			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)
		

References

• 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).

Links

• Shamil Asgarli, Brian Freidin, On the proportion of transverse-free plane curves, arXiv:2009.13421 [math.AG], 2020.
• Zeynelabidin Karakaş, Classification of Distinct Maximal Flag Codes of a Prescriped Type and Related Results, PhD Thesis, Middle East Technical University, 2023. See pages 40 and 43.
• 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.

Extensions

a(6) from Georg Muntingh, Feb 03 2014