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%I #13 Sep 04 2017 07:28:23
%S 40,252,1457,6168,20773,59279,149271,340821,719187,1422247,2663718,
%T 4763315,8185110,13585456,21871946,34274982,52433634,78497574,
%U 115246975,166232370,235936571,329960853,455237713,620272619,835417269,1113176985,1468554972,1919436277
%N a(n) = (1/5760)*(n + 5)*(15*n^7 + 225*n^6 + 1265*n^5 + 3707*n^4 + 7120*n^3 + 4900*n^2 - 6480*n + 27648).
%H Colin Barker, <a href="/A290127/b290127.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F G.f.: x*(40 - 108*x + 629*x^2 - 1233*x^3 + 1585*x^4 - 1306*x^5 + 666*x^6 - 192*x^7 + 24*x^8) / (1 - x)^9. - _Colin Barker_, Aug 09 2017
%o (PARI) Vec(x*(40 - 108*x + 629*x^2 - 1233*x^3 + 1585*x^4 - 1306*x^5 + 666*x^6 - 192*x^7 + 24*x^8) / (1 - x)^9 + O(x^30)) \\ _Colin Barker_, Aug 09 2017
%Y This is column 5 of triangle A290053.
%K nonn,easy
%O 1,1
%A _Gregory Gerard Wojnar_, Jul 20 2017
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