The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 2,5 LINKS Table of n, a(n) for n=2..65. 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 EXAMPLE 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 CROSSREFS Column sums are A140296. Sequence in context: A116088 A136501 A180983 * A343730 A343761 A336423 Adjacent sequences: A127706 A127707 A127708 * A127710 A127711 A127712 KEYWORD nonn,tabl AUTHOR Jonathan Vos Post, Apr 03 2007 EXTENSIONS Edited and leading zeroes in rows and few more values added by Andrey Zabolotskiy, Sep 19 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 1 11:52 EDT 2023. Contains 363068 sequences. (Running on oeis4.)