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A228292 a(n) = Sum_{k=1..8} n^k.

%I A228292 #15 Aug 01 2015 10:44:46
%S A228292 0,8,510,9840,87380,488280,2015538,6725600,19173960,48427560,
%T A228292 111111110,235794768,469070940,883708280,1589311290,2745954240,
%U A228292 4581298448,7411742280,11668193550,17927094320,26947368420,39714002328,57489010370,81870575520,114861197400
%N A228292 a(n) = Sum_{k=1..8} n^k.
%H A228292 Alois P. Heinz, <a href="/A228292/b228292.txt">Table of n, a(n) for n = 0..1000</a>
%H A228292 <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 A228292 G.f.: -2*x*(85*x^6+1695*x^5+7134*x^4+8254*x^3+2769*x^2+219*x+4)/(x-1)^9.
%F A228292 a(1) = 8, else a(n) = (n^9-n)/(n-1).
%F A228292 a(0)=0, a(1)=8, a(2)=510, a(3)=9840, a(4)=87380, a(5)=488280, a(6)=2015538, a(7)=6725600, a(8)=19173960, a(n)=9*a(n-1)-36*a(n-2)+84*a(n-3)- 126*a(n-4)+ 126*a(n-5)- 84*a(n-6)+36*a(n-7)-9*a(n-8)+a(n-9). - _Harvey P. Dale_, Jan 28 2014
%p A228292 a:= n-> `if`(n=1, 8, (n^9-n)/(n-1)):
%p A228292 seq(a(n), n=0..30);
%t A228292 Table[Total[n^Range[8]],{n,0,30}] (* or *) LinearRecurrence[ {9,-36,84,-126,126,-84,36,-9,1},{0,8,510,9840,87380,488280,2015538,6725600,19173960},30] (* _Harvey P. Dale_, Jan 28 2014 *)
%Y A228292 Column k=8 of A228275.
%K A228292 nonn,easy
%O A228292 0,2
%A A228292 _Alois P. Heinz_, Aug 19 2013