A126924 Coordination sequence for 16-dimensional cyclotomic lattice Z[zeta_34].

1, 34, 578, 6562, 56066, 385186, 2220098, 11058466, 48663554, 192392502, 692365222, 2292039926, 7041328702, 20224734998, 54668049574, 139859359958, 340371518068, 791527671386, 1765874861994, 3792914301082, 7868201032994, 15808446542074

Offset

0,2

Links

Table of n, a(n) for n=0..21.

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 (16, -120, 560, -1820, 4368, -8008, 11440, -12870, 11440, -8008, 4368, -1820, 560, -120, 16, -1).

Formula

G.f.: (x^16 + 18*x^15 + 154*x^14 + 834*x^13 + 3214*x^12 + 9402*x^11 + 21778*x^10 + 41226*x^9 + 65536*x^8 + 41226*x^7 + 21778*x^6 + 9402*x^5 + 3214*x^4 + 834*x^3 + 154*x^2 + 18*x + 1)/(x-1)^16

Crossrefs

Sequence in context: A010950 A330412 A089938 * A035712 A302955 A161647

Adjacent sequences: A126921 A126922 A126923 * A126925 A126926 A126927

Keyword

nonn

Author

N. J. A. Sloane, Mar 18 2007

Status

approved