A331140 Number of different coincidence site lattices of index n in lattice Z^4.

1, 1, 16, 0, 36, 16, 64, 0, 152, 36, 144, 0, 196, 64, 576, 0, 324, 152, 400, 0, 1024, 144, 576, 0, 912, 196, 1392, 0, 900, 576, 1024, 0, 2304, 324, 2304, 0, 1444, 400, 3136, 0, 1764, 1024, 1936, 0, 5472, 576, 2304, 0, 3152, 912, 5184, 0, 2916, 1392, 5184, 0

Offset

1,3

Links

Table of n, a(n) for n=1..56.

Michael Baake and Peter Zeiner, Coincidences in 4 dimensions, Phil. Mag. 88 (2008), 2025-2032; arXiv:0712.0363 [math.MG]. See end of Section 2.2.

Formula

a(2k-1) = a(4k-2) = A331139(k), a(4k) = 0. - Andrey Zabolotskiy, Jan 29 2020

Crossrefs

Cf. A031361, A331139, A331141, A331142.

Sequence in context: A347160 A005077 A059060 * A059681 A135925 A188784

Adjacent sequences: A331137 A331138 A331139 * A331141 A331142 A331143

Keyword

nonn,mult

Author

N. J. A. Sloane, Jan 12 2020

Extensions

Name corrected, a(2) corrected, and terms a(18) and beyond added by Andrey Zabolotskiy, Jan 29 2020

Status

approved