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A126919
Coordination sequence for 12-dimensional cyclotomic lattice Z[zeta_26].
1
1, 26, 338, 2938, 19266, 101946, 454610, 1757938, 6018220, 18545046, 52157222, 135472766, 328243942, 748247838, 1616345094, 3329094158, 6571888024, 12490108930, 22941430122, 40859300690, 70766009834, 119483732914, 197103817482, 318288489402, 503995375364
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^12 + 14*x^11 + 92*x^10 + 378*x^9 + 1093*x^8 + 2380*x^7 + 4096*x^6 + 2380*x^5 + 1093*x^4 + 378*x^3 + 92*x^2 + 14*x + 1)/(x-1)^12.
MATHEMATICA
CoefficientList[Series[(x^12+14x^11+92x^10+378x^9+1093x^8+2380x^7+4096x^6+2380x^5+1093x^4+378x^3+92x^2+14x+1)/(x-1)^12, {x, 0, 30}], x] (* or *) LinearRecurrence[{12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1}, {1, 26, 338, 2938, 19266, 101946, 454610, 1757938, 6018220, 18545046, 52157222, 135472766, 328243942}, 30] (* Harvey P. Dale, Dec 14 2023 *)
CROSSREFS
Sequence in context: A085743 A205494 A125438 * A035708 A252826 A042306
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 18 2007
STATUS
approved