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 #8 Jun 13 2015 00:51:32
%S 1,0,3,5,16,43,113,316,839,2301,6204,16855,45665,123800,335659,909845,
%T 2466760,6686979,18128529,49145300,133231279,361184653,979156724,
%U 2654456239,7196122817,19508406192,52886508243,143373224101
%N Quintisection of 1/(1-x^3-x^4).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,5,6,1).
%F a(n)=sum{k=0..floor(5n/3), binomial(k, 5n-3k)}.
%F a(n)=A017817(5n).
%F G.f.: (1+x)*(x^2+x-1) / ( -1+5*x^2+6*x^3+x^4 ). - _R. J. Mathar_, Feb 19 2015
%Y Cf. A099099.
%K easy,nonn,less
%O 0,3
%A _Paul Barry_, Sep 29 2004