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A126921
Coordination sequence for 12-dimensional cyclotomic lattice Z[zeta_28].
0
1, 28, 392, 3668, 25732, 144060, 670488, 2672852, 9344328, 29209292, 82958120, 216938148, 528131212, 1207976588, 2615828152, 5397362180, 10669093008, 20297542972, 37310805448, 66491509812, 115213838740, 194603575068, 321119500632, 518677185908, 821462669272
OFFSET
0,2
LINKS
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 (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).
FORMULA
G.f.: (x^6+8*x^5+29*x^4+64*x^3+29*x^2+8*x+1)^2/(1-x)^12.
MATHEMATICA
CoefficientList[Series[(x^6+8x^5+29x^4+64x^3+29x^2+8x+1)^2/(1-x)^12, {x, 0, 30}], x] (* Harvey P. Dale, Apr 15 2020 *)
CROSSREFS
Sequence in context: A331353 A177108 A283637 * A035709 A035476 A042518
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 18 2007
STATUS
approved