%I #12 Dec 14 2023 12:20:49
%S 1,18,217,2238,21493,199506,1821889,16508646,149043565,1343313114,
%T 12097677241,108911059374,980328977317,8823483334242,79413454477873,
%U 714729551160822,6432599932896349,57893535673021290
%N Expansion of 1/((1-2x)(1-3x)(1-4x)(1-9x)).
%H Harvey P. Dale, <a href="/A025470/b025470.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 (18, -107, 258, -216).
%F a(n) = -4*2^n/7 +9*3^n/2 -32*4^n/5 +243*9^n/70. - _R. J. Mathar_, Jun 30 2013
%t CoefficientList[Series[1/((1-2x)(1-3x)(1-4x)(1-9x)),{x,0,30}],x] (* or *) LinearRecurrence[{18,-107,258,-216},{1,18,217,2238},30] (* _Harvey P. Dale_, Dec 14 2023 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_.
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