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Number of different coincidence site lattices of index 2n-1 in lattice D_4.
5

%I #11 Jan 29 2020 10:14:25

%S 1,16,36,64,152,144,196,576,324,400,1024,576,912,1392,900,1024,2304,

%T 2304,1444,3136,1764,1936,5472,2304,3152,5184,2916,5184,6400,3600,

%U 3844,9728,7056,4624,9216,5184,5476,14592,9216,6400,12552,7056,11664,14400,8100

%N Number of different coincidence site lattices of index 2n-1 in lattice D_4.

%C Differs from A031360 if n is divisible by the square of an odd prime.

%H Michael Baake and Peter Zeiner, <a href="https://doi.org/10.1080/14786430701846206">Coincidences in 4 dimensions</a>, Phil. Mag. 88 (2008), 2025-2032; arXiv:<a href="https://arxiv.org/abs/0712.0363">0712.0363</a> [math.MG]. See end of Section 2.1.

%H <a href="/index/Da#D4">Index entries for sequences related to D_4 lattice</a>

%Y Cf. A031360, A331140, A331141, A331142.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jan 12 2020

%E Terms a(10) and beyond added and name corrected by _Andrey Zabolotskiy_, Jan 29 2020