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%I #13 Sep 04 2017 07:28:18
%S 0,1476,11772,61595,249986,846306,2495961,6601035,15978570,35938992,
%T 75976077,152318826,291665618,536502980,952506198,1638627738,
%U 2740602996,4468742196,7121033250,11112754029,17013984714,25596622646,37892734319,55266332805,79500944910
%N a(n) = (1/11520) * n*(n+7)^2 * (3*n^7 + 83*n^6 + 961*n^5 + 6201*n^4 + 24708*n^3 + 60700*n^2 + 87968*n + 85056).
%H Colin Barker, <a href="/A290723/b290723.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F G.f.: x*(1476 - 4464*x + 13283*x^2 - 23639*x^3 + 28885*x^4 - 24502*x^5 + 14202*x^6 - 5376*x^7 + 1200*x^8 - 120*x^9) / (1 - x)^11. - _Colin Barker_, Aug 09 2017
%t CoefficientList[Series[x (1476 - 4464 x + 13283 x^2 - 23639 x^3 + 28885 x^4 - 24502 x^5 + 14202 x^6 - 5376 x^7 + 1200 x^8 - 120 x^9)/(1 - x)^11, {x, 0, 24}], x] (* _Michael De Vlieger_, Aug 09 2017 *)
%o (PARI) concat(0, Vec(x*(1476 - 4464*x + 13283*x^2 - 23639*x^3 + 28885*x^4 - 24502*x^5 + 14202*x^6 - 5376*x^7 + 1200*x^8 - 120*x^9) / (1 - x)^11 + O(x^30))) \\ _Colin Barker_, Aug 09 2017
%Y This is the negation of column 6 of triangle A290053.
%K nonn,easy
%O 0,2
%A _Gregory Gerard Wojnar_, Aug 09 2017
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