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%I #18 Jun 20 2022 20:45:22
%S 0,0,0,0,0,2,13,56,201,652,1987,5812,16527,46062,126511,343698,926073,
%T 2479562,6606805,17537444,46415109,122559832,323033839,850211680,
%U 2235203355,5871127002,15410683483,40428032286,106011825381,277892656502,728253346657,1908075342992,4998455710257,13092392061412,34289189456731
%N Expansion of x^5*(2-5*x+3*x^2-x^3)/((1-x)^2*(1-2*x)^2*(1-3*x+x^2)).
%H D. Battaglino, J. M. Fedou, S. Rinaldi and S. Socci, <a href="https://hal.inria.fr/hal-01229685">The number of k-parallelogram polyominoes</a>, FPSAC 2013 Paris, France DMTCS Proc. AS, 2013, 1143-1154. hal-01229685.
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (9,-32,57,-53,24,-4).
%F G.f.: x^5*(2-5*x+3*x^2-x^3)/((1-x)^2*(1-2*x)^2*(1-3*x+x^2)).
%F a(n) = 9*a(n-1)-32*a(n-2)+57*a(n-3)-53*a(n-4)+24*a(n-5)-4*a(n-6). - _Wesley Ivan Hurt_, Jun 20 2022
%t CoefficientList[Series[x^5*(2 - 5*x + 3*x^2 - x^3)/((1 - x)^2*(1 - 2*x)^2*(1 - 3*x + x^2)), {x, 0, 34}], x] (* _Amiram Eldar_, Oct 08 2020 *)
%K nonn,easy
%O 0,6
%A _N. J. A. Sloane_, Oct 04 2013