A023994 Number of isomorphism types of symmetric configurations n_4.

1, 1, 4, 19, 1972, 971171

Offset: 13

Author

Anton Betten (Anton.Betten(AT)uni-bayreuth.de)

Keywords

• hard
• nonn

Links

• A. Betten, More information
• Ed Pegg, Jr., An example of a 27_4 configuration [In barycentric coordinates, both lines and points are triples. A point is on a line if point.line = 0. The following set of 27 points and 27 lines is a 27_4 configuration, since every point is on 4 lines and every line passes through 4 points: {{-2, 3, 1}, {-2, 4, -1}, {-1, -2, 4}, {-1, 0, 2}, {-1, 1, 1}, {-1, 1,2}, {-1, 2, 3}, {-1, 2, 4}, {0, 2, -1}, {0, 2, 1}, {1, -2, 3}, {1, -1, 1}, {1, 0, 2}, {1, 1, -1}, {1, 1, 2}, {1, 2, -1}, {1, 2,1}, {2, -1, 0}, {2, -1, 1}, {2, 1, 0}, {2, 1, 1}, {2, 3, -1}, {2, 4, -1}, {3, -1, 2}, {3, 1, -2}, {4, -1, -2}, {4, -1, 2}}.]