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A331141
Number of symmetrically inequivalent coincidence rotations of index n in lattice A_4.
5
1, 5, 10, 20, 30, 50, 50, 80, 90, 150, 144, 200, 170, 250, 300, 320, 290, 450, 400, 600, 500, 720, 530, 800, 750, 850, 810, 1000, 900, 1500, 1024, 1280, 1440, 1450, 1500, 1800, 1370, 2000, 1700, 2400, 1764, 2500, 1850, 2880, 2700, 2650, 2210, 3200, 2450
OFFSET
1,2
COMMENTS
The overall number of coincidence rotations is 120 times higher. Some symmetrically distinct rotations generate the same coincidence site lattices, hence a(n) >= A331142(n). - Andrey Zabolotskiy, Jan 29 2020
LINKS
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.
CROSSREFS
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