A127709 Triangle T(n, d) = the number of isomorphism classes of smooth Fano d-polytopes with n vertices, read by rows (n >= 2, 1 <= d < n).

1, 0, 1, 0, 2, 1, 0, 1, 4, 1, 0, 1, 7, 9, 1, 0, 0, 4, 28, 15, 1, 0, 0, 2, 47, 91, 26, 1, 0, 0, 0, 27, 268, 257, 40, 1, 0, 0, 0, 10, 312, 1318, 643, 62, 1, 0, 0, 0, 1, 137, 2807, 5347, 1511, 91, 1, 0, 0, 0, 1, 35, 2204, 19516, 19453, 3331

Offset: 2

Author

Jonathan Vos Post, Apr 03 2007

Keywords

• nonn
• tabl

Examples

			Table begins:
n  |d=1|d=2|d=3|d=4|d=5|d=6|d=7
1  |
2  | 1 |
3  |   | 1 |
4  |   | 2 | 1 |
5  |   | 1 | 4 | 1 |
6  |   | 1 | 7 | 9 | 1 |
7  |   |   | 4 | 28| 15| 1 |
8  |   |   | 2 | 47| 91| 26| 1
9  |   |   |   | 27|268|257| 40
		

Links

• Mikkel Obro, An algorithm for the classification of smooth Fano polytopes, arXiv:0704.0049 [math.CO], Apr 02 2007, p. 15.
• Mikkel Øbro, Classification of smooth Fano polytopes, PhD thesis, 2007. See Appendix A.
• Andreas Paffenholz, Smooth Reflexive Lattice Polytopes

Crossrefs

Column sums are A140296.

Extensions

Edited and leading zeroes in rows and few more values added by Andrey Zabolotskiy, Sep 19 2018