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<a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1).

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M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136.

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

approved

editing

_N. J. A. Sloane (njas(AT)research.att.com), _, Mar 18 2007

nonn,new

nonn

N. J. A. Sloane (njas, (AT)research.att.com), Mar 18 2007

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

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M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136.

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.

nonn

njas, Mar 18 2007

approved