A126928 Coordination sequence for 16-dimensional cyclotomic lattice Z[zeta_40].

1, 40, 800, 10600, 104360, 813400, 5229440, 28562200, 135572000, 569558760, 2150276800, 7389308840, 23367148600, 68636533400, 188771088160, 489493290200, 1203878338240, 2822878985000, 6339184744800, 13687255667560, 28512882878600, 57481510167640

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^4+6*x^3+16*x^2+6*x+1)^4/(1-x)^16.

a(n) = 16*a(n-1) - 120*a(n-2) + 560*a(n-3) - 1820*a(n-4) + 4368*a(n-5) - 8008*a(n-6) + 11440*a(n-7) - 12870*a(n-8) + 11440*a(n-9) - 8008*a(n-10) + 4368*a(n-11) - 1820*a(n-12) + 560*a(n-13) - 120*a(n-14) + 16*a(n-15) - a(n-16). - Wesley Ivan Hurt, Jun 12 2026

Crossrefs

Sequence in context: A261571 A010956 A006240 * A035715 A035609 A161653

Adjacent sequences: A126925 A126926 A126927 * A126929 A126930 A126931

Keyword

nonn

Author

N. J. A. Sloane, Mar 18 2007

Status

approved