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Revision History for A098702

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A098702 Number of self-polar configurations of type (n_3).
(history; published version)
#8 by Susanna Cuyler at Thu May 31 21:38:06 EDT 2018
STATUS

reviewed

approved

#7 by Joerg Arndt at Thu May 31 13:30:59 EDT 2018
STATUS

proposed

reviewed

#6 by Michel Marcus at Thu May 31 13:24:05 EDT 2018
STATUS

editing

proposed

#5 by Michel Marcus at Thu May 31 13:24:01 EDT 2018
REFERENCES

A. Betten, G. Brinkmann and T. Pisanski, Counting symmetric configurations v_3, Discrete Appl. Math., 99 (2000), 331-338.

M. Boben et al., Small triangle-free configurations of points and lines, Discrete Comput. Geom., 35 (2006), 405-427.

Pisanski, T.; Boben, M.; Marusic, D.; Orbanic, A.; and Graovac, A. The 10-cages and derived configurations. Discrete Math. 275 (2004), 265-276.

LINKS

A. Betten, G. Brinkmann and T. Pisanski, <a href="https://doi.org/10.1016/S0166-218X(99)00143-2">Counting symmetric configurations v_3</a>, Discrete Appl. Math., 99 (2000), 331-338.

M. Boben et al., <a href="https://doi.org/10.1007/s00454-005-1224-9">Small triangle-free configurations of points and lines</a>, Discrete Comput. Geom., 35 (2006), 405-427.

T. Pisanski, M. Boben, D. Marušic, A. Orbanic, A. Graovac, <a href="https://doi.org/10.1016/S0012-365X(03)00110-9">The 10-cages and derived configurations</a>, Discrete Math. 275 (2004), 265-276.

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 16:50:03 EDT 2012
AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Nov 05 2004

Discussion
Fri Mar 30 16:50
OEIS Server: https://oeis.org/edit/global/110
#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
EXAMPLE

Example: the Fano plane is the only 7_3 configuration, and it is self-polar.

KEYWORD

nonn,nice,hard,new

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Nov 05 2004

#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006
DATA

0, 0, 0, 0, 0, 0, 1, 1, 3, 10, 25, 95, 365, 1432, 5799, 24092, 102413, 445363, 1991320

REFERENCES

M. Boben et al., Small triangle-free configurations of points and lines, Discrete Comput. Geom., 35 (2006), 405-427.

KEYWORD

nonn,nice,hard,new

#1 by N. J. A. Sloane at Sun Feb 20 03:00:00 EST 2005
NAME

Number of self-polar configurations of type (n_3).

DATA

0, 0, 0, 0, 0, 0, 1, 1, 3, 10, 25, 95, 365, 1432, 5799, 24092, 102413, 445363

OFFSET

1,9

REFERENCES

A. Betten, G. Brinkmann and T. Pisanski, Counting symmetric configurations v_3, Discrete Appl. Math., 99 (2000), 331-338.

Pisanski, T.; Boben, M.; Marusic, D.; Orbanic, A.; and Graovac, A. The 10-cages and derived configurations. Discrete Math. 275 (2004), 265-276.

EXAMPLE

Example: the Fano plane is the only 7_3 configuration, and it is self-polar.

CROSSREFS

Cf. A001403, A023994.

KEYWORD

nonn,nice,hard

AUTHOR

njas, Nov 05 2004

EXTENSIONS

a(1)-a(18) from the Betten, Brinkmann and Pisanski article.

a(19) from the Pisanski et al. article.

STATUS

approved

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Last modified August 18 20:50 EDT 2024. Contains 375284 sequences. (Running on oeis4.)