A126901 Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_20].

1, 20, 200, 1300, 6180, 23100, 71720, 192700, 461800, 1009380, 2046200, 3896420, 7038700, 12156300, 20197080, 32444300, 50599120, 76875700, 114109800, 165881780, 236654900, 331929820, 458416200, 624222300, 839063480, 1114490500, 1464138520, 1903997700

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 (8, -28, 56, -70, 56, -28, 8, -1).

Formula

G.f.: (x^4+6*x^3+16*x^2+6*x+1)^2/(1-x)^8.

Mathematica

CoefficientList[Series[(x^4+6x^3+16x^2+6x+1)^2/(1-x)^8, {x, 0, 40}], x] (* Harvey P. Dale, Jun 23 2013 *)

Crossrefs

Sequence in context: A219935 A191299 A027716 * A008420 A045758 A035474

Adjacent sequences: A126898 A126899 A126900 * A126902 A126903 A126904

Keyword

nonn

Author

N. J. A. Sloane, Mar 17 2007

Status

approved