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%I #10 Jun 13 2015 00:51:33
%S 1,1,5,15,45,140,431,1326,4085,12580,38740,119305,367411,1131476,
%T 3484490,10730820,33046585,101770120,313410816,965178576,2972359720,
%U 9153665985,28189589705,86812537085,267347509271,823322219501
%N A quadrisection of 1/(1-x-x^5).
%C A row of A099233.
%H Harvey P. Dale, <a href="/A099235/b099235.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,4,6,4,1).
%F G.f.: 1/(1-x(1+x)^4); a(n)=sum{k=0..n, binomial(4(n-k), k)}; a(n)=a(n-1)+4a(n-2)+6a(n-3)+4a(n-4)+a(n-5); a(n)=A003520(4n).
%t Take[CoefficientList[Series[1/(1-x-x^5),{x,0,100}],x],{1,-1,4}] (* or *) LinearRecurrence[{1,4,6,4,1},{1,1,5,15,45},30] (* _Harvey P. Dale_, Mar 06 2015 *)
%K easy,nonn
%O 0,3
%A _Paul Barry_, Oct 08 2004
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