

A173824


Number of fourdimensional simplical toric diagrams with hypervolume n.


3



1, 2, 4, 10, 8, 19, 13, 45, 33, 47, 30, 129, 43, 96, 108, 226, 78, 264, 102, 357, 226, 277, 163, 813, 260, 425, 436, 780, 297, 1092, 355, 1281, 678, 856, 712, 2202, 569, 1155, 1050, 2537, 752, 2544, 856, 2447, 2048, 1944, 1093, 5388, 1447, 3083, 2150, 3827
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OFFSET

1,2


COMMENTS

Also gives the number of distinct abelian orbifolds of C^5/Gamma, Gamma in SU(5).


LINKS

Table of n, a(n) for n=1..52.
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.


CROSSREFS

Cf. A003051 (No. of twodimensional triangular toric diagrams of area n), A045790 (No. of threedimensional tetrahedral toric diagrams of volume n), A173877, A173878.
Sequence in context: A200742 A178729 A124108 * A097211 A092945 A320150
Adjacent sequences: A173821 A173822 A173823 * A173825 A173826 A173827


KEYWORD

nonn


AUTHOR

RakKyeong Seong (rakkyeong.seong(AT)imperial.ac.uk), Feb 25 2010


EXTENSIONS

a(16) corrected, terms a(31) and beyond added from Hanany & Seong 2011 by Andrey Zabolotskiy, Jun 30 2019


STATUS

approved



