%I #15 Oct 14 2023 13:26:47

%S 1,480,43072,1535392,30171264,386224480,3568285888,25502776608,

%T 148192248064,726504898784,3090942003520,11666428964000,

%U 39751306125696,123999066493024,358175327721920,967087327771680,2459947867603456,5933762681602016,13648859698457152

%N Coordination sequence for D_16 lattice

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (16,-120,560,-1820,4368,-8008,11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1).

%F G.f.: (x^16 + 464*x^15 + 35512*x^14 + 903280*x^13 + 10506652*x^12 + 64480208*x^11 + 225728776*x^10 + 471339504*x^9 + 600970566*x^8 + 471339504*x^7 + 225728776*x^6 + 64480208*x^5 + 10506652*x^4 + 903280*x^3 + 35512*x^2 + 464*x + 1) / (x - 1)^16. [_Colin Barker_, Nov 21 2012]

%t CoefficientList[Series[(x^16+464x^15+35512x^14+903280x^13+10506652x^12+64480208x^11+ 225728776x^10+471339504x^9+600970566x^8+471339504x^7+225728776x^6+64480208x^5+10506652x^4+903280x^3+35512x^2+464x+1)/(x-1)^16,{x,0,30}],x] (* or *) LinearRecurrence[ {16,-120,560,-1820,4368,-8008,11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1},{1,480,43072,1535392,30171264,386224480,3568285888,25502776608,148192248064,726504898784,3090942003520,11666428964000,39751306125696,123999066493024,358175327721920,967087327771680,2459947867603456},30] (* _Harvey P. Dale_, Oct 14 2023 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, May 28 2005