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

1,2

Comments

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

Links

Table of n, a(n) for n=1..20.

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.

Sequence in context: A014645 A195996 A036050 * A101525 A139476 A063618

Adjacent sequences: A173874 A173875 A173876 * A173878 A173879 A173880

Keyword

nonn,more

Author

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

Extensions

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

Status

approved