Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #14 May 11 2023 14:35:10
%S 0,4,40,332,2672,21396,171192,1369564,10956544,87652388,701219144,
%T 5609753196,44878025616,359024204980,2872193639896,22977549119228,
%U 183820392953888,1470563143631172,11764505149049448,94116041192395660
%N Partial sums of A108019.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,-17,8).
%F a(n) = Sum_{i=0..n} A108019(i).
%F a(n) = 4*(8^(n+1)-7n-8)/49 = 4*A014831(n). - _R. J. Mathar_, Oct 21 2008
%F a(0)=0, a(1)=4, a(2)=40, a(n)=10*a(n-1)-17*a(n-2)+8*a(n-3). - _Harvey P. Dale_, Aug 08 2013
%F a(n) = A145729(n)/2. G.f.: -4*x / ((x-1)^2*(8*x-1)). - _Colin Barker_, Oct 28 2014
%t lst={};s=0;Do[s+=(s+=(s+=n+s));AppendTo[lst,s],{n,0,5!}];lst
%t Accumulate[NestList[8#+4&,0,20]] (* or *) LinearRecurrence[{10,-17,8},{0,4,40},20] (* _Harvey P. Dale_, Aug 08 2013 *)
%o (PARI) concat(0, Vec(-4*x/((x-1)^2*(8*x-1)) + O(x^100))) \\ _Colin Barker_, Oct 28 2014
%Y Cf. A108019, A145729.
%K nonn,easy
%O 0,2
%A _Vladimir Joseph Stephan Orlovsky_, Oct 17 2008
%E Edited by _R. J. Mathar_, Oct 21 2008