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%I #7 Dec 15 2023 13:02:48
%S 1,35,630,7770,73815,575750,3838100,22476335,117954690,563148425,
%T 2474804920,10104887030,38627417045,139109930330,474457166470,
%U 1539358947805,4769099668900,14155140694835,40366668119890,110883904213950,294062886619075,754451625256210
%N Coordination sequence for 24-dimensional cyclotomic lattice Z[zeta_35].
%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 + 11*x^23 + 66*x^22 + 286*x^21 + 1001*x^20 + 2996*x^19 + 7896*x^18 + 18631*x^17 + 39671*x^16 + 76046*x^15 + 128726*x^14 + 185206*x^13 + 212926*x^12 + 185206*x^11 + 128726*x^10 + 76046*x^9 + 39671*x^8 + 18631*x^7 + 7896*x^6 + 2996*x^5 + 1001*x^4 + 286*x^3 + 66*x^2 + 11*x + 1)/(x-1)^24.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 18 2007
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