login
Quintisection of 1/(1-x^3-x^4).
0

%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