

A173877


Number of fivedimensional simplical toric diagrams with hypervolume n.


3



1, 3, 6, 17, 13, 40, 27, 106, 78, 127, 79, 391, 129, 321, 358, 832, 285, 1070, 409, 1549
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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 [hepth], 2010.
A. Hanany and R. K. Seong, Symmetries of abelian orbifolds, J. High Energ. Phys. (2011) 2011: 27; arXiv:1009.3017 [hepth], 20102011.
Andrey Zabolotskiy, Coweight lattice A^*_n and lattice simplices, arXiv:2003.10251 [math.CO], 2020.


CROSSREFS

Cf. A003051 (No. of twodimensional triangular toric diagrams of area n), A045790 (No. of threedimensional tetrahedral toric diagrams of volume n), A173824 (No. of fourdimensional 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,changed


AUTHOR

RakKyeong Seong (rakkyeong.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



