%I #13 Sep 08 2022 08:44:50
%S 1,31,608,9650,135471,1756461,21553078,254114080,2907590741,
%T 32510311691,356977004748,3863433611310,41325142341211,
%U 437804739243721,4601385756887618,48040443020269340,498759633052498881,5153605455623560551,53035826592972273688
%N Expansion of 1/((1-5x)(1-7x)(1-9x)(1-10x)).
%H Vincenzo Librandi, <a href="/A028184/b028184.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (31,-353,1745,-3150).
%F a(n)=(8*10^(n+3)-15*9^(n+3)+10*7^(n+3)-3*5^(n+3))/120. [_Yahia Kahloune_, Jun 04 2013]
%t CoefficientList[Series[1/((1-5x)(1-7x)(1-9x)(1-10x)),{x,0,20}],x] (* or *) LinearRecurrence[{31,-353,1745,-3150},{1,31,608,9650},20] (* _Harvey P. Dale_, Apr 01 2018 *)
%o (Magma) I:=[1,31,608,9650]; [n le 4 select I[n] else 31*Self(n-1)-353*Self(n-2)+1745*Self(n-3)-3150*Self(n-4): n in [1..25]]; // _Vincenzo Librandi_, Apr 02 2018
%K nonn
%O 0,2
%A _N. J. A. Sloane_.