A126926 Coordination sequence for 12-dimensional cyclotomic lattice Z[zeta_36].

1, 36, 612, 6588, 50904, 303876, 1474092, 6033564, 21452976, 67799268, 193960692, 509703804, 1245059208, 2854551492, 6191953596, 12792023388, 25309583712, 48183896484, 88618163076, 157990810428, 273847694904, 462663220356, 763604416332, 1233586096668

Offset

0,2

Links

Table of n, a(n) for n=0..23.

M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136.

Index entries for linear recurrences with constant coefficients, signature (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).

Formula

G.f.: (x^2+4*x+1)^6/(1-x)^12.

Crossrefs

Sequence in context: A151597 A263957 A323974 * A163720 A282556 A129839

Adjacent sequences: A126923 A126924 A126925 * A126927 A126928 A126929

Keyword

nonn

Author

N. J. A. Sloane, Mar 18 2007

Status

approved