|
%I #7 Dec 15 2023 13:10:19
%S 1,39,780,10647,111423,952458,6920550,43927572,248479881,1271710518,
%T 5959420428,25817154792,104213936151,394558461219,1408883732178,
%U 4767318362547,15349086639822,47189649988689,138972574939458,393135367989585,1070965640458077,2815900334572572
%N Coordination sequence for 24-dimensional cyclotomic lattice Z[zeta_39].
%H M. Beck and S. Hosten, <a href="http://arxiv.org/abs/math/0508136">Cyclotomic polytopes and growth series of cyclotomic lattices</a>, arXiv math.CO/0508136.
%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (24, -276, 2024, -10626, 42504, -134596, 346104, -735471, 1307504, -1961256, 2496144, -2704156, 2496144, -1961256, 1307504, -735471, 346104, -134596, 42504, -10626, 2024, -276, 24, -1).
%F G.f.: (x^24 + 15*x^23 + 120*x^22 + 667*x^21 + 2865*x^20 + 10068*x^19 + 29998*x^18 + 77670*x^17 + 177966*x^16 + 363919*x^15 + 655692*x^14 + 1001649*x^13 + 1214590*x^12 + 1001649*x^11 + 655692*x^10 + 363919*x^9 + 177966*x^8 + 77670*x^7 + 29998*x^6 + 10068*x^5 + 2865*x^4 + 667*x^3 + 120*x^2 + 15*x + 1)/(x-1)^24.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 18 2007
|
