A126902 Coordination sequence for 12-dimensional cyclotomic lattice Z[zeta_21].

1, 21, 231, 1764, 10479, 51450, 216531, 800121, 2642514, 7913619, 21754425, 55475826, 132425181, 298205544, 637710549, 1302463575, 2553071556, 4823274561, 8814149379, 15629570544, 26967111675, 45382254246, 74648134911, 120238185669, 189964987254, 294815553375, 450031184421, 676489071006

Offset

0,2

Links

Table of n, a(n) for n=0..27.

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^12 + 9*x^11 + 45*x^10 + 158*x^9 + 432*x^8 + 909*x^7 + 1302*x^6 + 909*x^5 + 432*x^4 + 158*x^3 + 45*x^2 + 9*x + 1)/(x-1)^12.

Crossrefs

Sequence in context: A020267 A188354 A064322 * A162646 A247615 A010973

Adjacent sequences: A126899 A126900 A126901 * A126903 A126904 A126905

Keyword

nonn

Author

N. J. A. Sloane, Mar 17 2007

Status

approved