A331142 Number of different coincidence site lattices of index n in lattice A_4.

1, 5, 10, 20, 6, 50, 50, 80, 90, 30, 144, 200, 170, 250, 60, 320, 290, 450, 400, 120, 500, 720, 530, 800, 150, 850, 810, 1000, 900, 300, 1024, 1280, 1440, 1450, 300, 1800, 1370, 2000, 1700, 480, 1764, 2500, 1850, 2880, 540, 2650, 2210, 3200, 2450, 750, 2900

Offset

1,2

Links

Table of n, a(n) for n=1..51.

Michael Baake and Peter Zeiner, Coincidences in 4 dimensions, Phil. Mag. 88 (2008), 2025-2032; arXiv:0712.0363 [math.MG]. See end of Section 3.

Manuela Heuer and Peter Zeiner, CSLs of the root lattice A_4, J. Phys.: Conf. Ser. 226 (2010), 012024; arXiv:1301.2001 [math.MG].

Index entries for sequences related to A_4 lattice

Crossrefs

Cf. A031360, A031361, A331139, A331140, A331141.

Sequence in context: A325056 A147390 A345715 * A345711 A300019 A115825

Adjacent sequences: A331139 A331140 A331141 * A331143 A331144 A331145

Keyword

nonn,mult

Author

N. J. A. Sloane, Jan 12 2020

Extensions

Name corrected and terms a(12) and beyond added by Andrey Zabolotskiy, Jan 29 2020

Status

approved