A003036 Number of simplicial arrangements of n lines in the plane (the lines do not pass through a common point, all cells are triangles). (Formerly M0223)

1, 1, 1, 2, 2, 2, 2, 4, 2, 4, 5, 5, 6

Offset

3,4

References

J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, CRC Press, 1997, p. 102.

B. Grünbaum, Arrangements and Spreads. American Mathematical Society, Providence, RI, 1972, p. 7.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=3..15.

Stefan Felsner and Jacob E. Goodman, Pseudoline Arrangements, Chapter 5 of Handbook of Discrete and Computational Geometry, CRC Press, 2017, see Table 5.6.1. [Specific reference for this sequence] - N. J. A. Sloane, Nov 14 2023

Jacob E. Goodman, Joseph O'Rourke, and Csaba D. Tóth, editors, Handbook of Discrete and Computational Geometry, CRC Press, 2017, see Table 5.6.1. [General reference for 2017 edition of the Handbook] - N. J. A. Sloane, Nov 14 2023

Crossrefs

Cf. A048872, A048873.

Sequence in context: A347291 A331308 A318836 * A089818 A067025 A049047

Adjacent sequences: A003033 A003034 A003035 * A003037 A003038 A003039

Keyword

nonn,nice,more

Author

N. J. A. Sloane

Status

approved