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%I #9 May 17 2016 16:45:15
%S 0,0,0,0,0,0,1,4,10,20,35,56,84,120,166,228,322,484,785,1352,2396,
%T 4248,7405,12592,20856,33728,53524,83912,130956,204968,323665,517356,
%U 837206,1368108,2248479,3700648,6077900,9938488,16164330,26154700,42146078
%N C(n-3,3)+C(n-7,7)+...+C(n-(4*floor((n-4)/4)+3),4*floor((n-4)/4)+3).
%H G. C. Greubel, <a href="/A101552/b101552.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1,0,0,0,1).
%F G.f.: x^6/((1-x)^4-x^8).
%F a(n) = sum{k=0..n, if(mod(k+1, 4)=0, C(n-k, k), 0)}.
%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-8). - _G. C. Greubel_, May 17 2016
%t CoefficientList[Series[x^6/((1 - x)^4 - x^8) , {x, 0, 50}], x] (* _G. C. Greubel_, May 17 2016 *)
%Y Cf. A024490, A101551.
%K easy,nonn
%O 0,8
%A _Paul Barry_, Dec 06 2004
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