login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A063864
Theta series of A15 packing with respect to point (0,1,2).
1
1, 0, 0, 0, 2, 4, 8, 0, 0, 0, 0, 0, 0, 4, 16, 0, 6, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 12, 16, 0, 12, 0, 0, 0, 10, 4, 24, 0, 0, 0, 0, 0, 0, 12, 16, 0, 8, 0, 0, 0, 8, 12, 32, 0, 0, 0, 0, 0, 0, 12, 32, 0, 6, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 0, 0, 16, 16, 0, 24, 0, 0, 0
OFFSET
0,5
COMMENTS
The A15 packing is the union of 8 translates of the lattice 4Z^3 by the vectors (0,0,0), (2,2,2) and all cyclic shifts of (0, +-1, 2).
LINKS
Center for Computational Materials Science, Naval Research Laboratory (mehl(AT)dave.nrl.navy.mil), The A15 Structure
EXAMPLE
1 + 2*q^4 + 4*q^5 + 8*q^6 + 4*q^13 + 16*q^14 + 6*q^16 + 8*q^20 + 8*q^21 + 8*q^22 + ...
CROSSREFS
Cf. A063863.
Sequence in context: A174393 A153662 A222011 * A186036 A186040 A119927
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Aug 27 2001
STATUS
approved