A126923 Coordination sequence for 20-dimensional cyclotomic lattice Z[zeta_33].

1, 33, 561, 6534, 58542, 429726, 2688741, 14734797, 72139188, 320292159, 1304830527, 4923228882, 17335268874, 57322733226, 178956174243, 529880976603, 1494051617256, 4025876961117, 10400637791973, 25836376187094, 61877364279654, 143225155573038

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 (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1).

Formula

G.f.: (x^20 + 13*x^19 + 91*x^18 + 444*x^17 + 1677*x^16 + 5187*x^15 + 13614*x^14 + 31083*x^13 + 61422*x^12 + 100561*x^11 + 126214*x^10 + 100561*x^9 + 61422*x^8 + 31083*x^7 + 13614*x^6 + 5187*x^5 + 1677*x^4 + 444*x^3 + 91*x^2 + 13*x + 1)/(x-1)^20.

Crossrefs

Sequence in context: A161988 A162380 A188357 * A010985 A228256 A197361

Adjacent sequences: A126920 A126921 A126922 * A126924 A126925 A126926

Keyword

nonn

Author

N. J. A. Sloane, Mar 18 2007

Status

approved