A331139 Number of different coincidence site lattices of index 2n-1 in lattice D_4.

1, 16, 36, 64, 152, 144, 196, 576, 324, 400, 1024, 576, 912, 1392, 900, 1024, 2304, 2304, 1444, 3136, 1764, 1936, 5472, 2304, 3152, 5184, 2916, 5184, 6400, 3600, 3844, 9728, 7056, 4624, 9216, 5184, 5476, 14592, 9216, 6400, 12552, 7056, 11664, 14400, 8100

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..45.

Michael Baake and Peter Zeiner, Coincidences in 4 dimensions, Phil. Mag. 88 (2008), 2025-2032; arXiv:0712.0363 [math.MG]. See end of Section 2.1.

Index entries for sequences related to D_4 lattice

Crossrefs

Cf. A031360, A331140, A331141, A331142.

Sequence in context: A161753 A062312 A326709 * A031360 A295016 A125240

Adjacent sequences: A331136 A331137 A331138 * A331140 A331141 A331142

Keyword

nonn

Author

N. J. A. Sloane, Jan 12 2020

Extensions

Terms a(10) and beyond added and name corrected by Andrey Zabolotskiy, Jan 29 2020

Status

approved