%I #21 Feb 12 2024 13:18:47
%S 1,0,0,1,1,1,2,2,3,4,6,8,10,14,20,26,36,49,66,90,123,167,227,308,420,
%T 571,776,1056,1436,1952,2656,3612,4912,6680,9085,12356,16804,22853,
%U 31081,42269,57486,78182,106327,144604
%N Expansion of 1/(1 - x^3 - x^4 - x^5 - x^6 + x^9).
%C Limiting ratio is 1.3599997117115008..., the largest real root of 1 - x^3 - x^4 - x^5 - x^6 + x^9 = 0.
%H Vincenzo Librandi, <a href="/A225484/b225484.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,1,1,1,0,0,-1).
%t SeriesCoefficient[Series[1/(1 - x^3 - x^4 - x^5 - x^6 + x^9), {x, 0, 50}], n]
%o (PARI) Vec(1/(1-x^3-x^4-x^5-x^6+x^9)+O(x^99)) \\ _Charles R Greathouse IV_, May 08 2013
%Y Cf. A117791, A107293, A204631, A225391, A225482.
%K nonn,easy
%O 0,7
%A _Roger L. Bagula_, May 08 2013