A173877 Number of five-dimensional simplical toric diagrams with hypervolume n.

1, 3, 6, 17, 13, 40, 27, 106, 78, 127, 79, 391, 129, 321, 358, 832, 285, 1070, 409, 1549

Offset: 1

Author

Rak-Kyeong Seong (rak-kyeong.seong(AT)imperial.ac.uk), Mar 01 2010

Keywords

• nonn
• more

Comments

Also gives the number of distinct abelian orbifolds of C^6/Gamma, Gamma in SU(6).

Links

• J. Davey, A. Hanany and R. K. Seong, Counting Orbifolds, J. High Energ. Phys. (2010) 2010: 10; arXiv:1002.3609 [hep-th], 2010.
• A. Hanany and R. K. Seong, Symmetries of abelian orbifolds, J. High Energ. Phys. (2011) 2011: 27; arXiv:1009.3017 [hep-th], 2010-2011.
• Andrey Zabolotskiy, Coweight lattice A^*_n and lattice simplices, arXiv:2003.10251 [math.CO], 2020.

Crossrefs

Cf. A003051 (No. of two-dimensional triangular toric diagrams of area n), A045790 (No. of three-dimensional tetrahedral toric diagrams of volume n), A173824 (No. of four-dimensional simplical toric diagrams of hypervolume n), A173878.

Extensions

a(9) corrected, a(15)-a(20) added from Hanany & Seong 2011 by Andrey Zabolotskiy, Jun 30 2019