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%I #12 Dec 26 2021 18:00:21
%S 1,19,240,2570,25391,240489,2226310,20352640,184772181,1670999759,
%T 15079423580,135917468310,1224272081371,11023527831829,99237160300050,
%U 893261534749580,8039989402000961,72363082951440699,651283639391863720,5861632222156996450,52755087348022338951
%N Expansion of 1/((1-2x)(1-3x)(1-5x)(1-9x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (19,-121,309,-270).
%F a(0)=1, a(1)=19, a(2)=240; a(n)=(9^(n+3)-7*5^(n+3)+14*3^(n+3)-8*2^(n+3))/168. [_Yahia Kahloune_, May 08 2013]
%t CoefficientList[Series[1/((1-2x)(1-3x)(1-5x)(1-9x)),{x,0,20}],x] (* or *) LinearRecurrence[{19,-121,309,-270},{1,19,240,2570},30] (* _Harvey P. Dale_, Dec 26 2021 *)
%o (PARI) x='x+O('x^66); Vec(1/((1-2*x)*(1-3*x)*(1-5*x)*(1-9*x))) \\ _Joerg Arndt_, May 08 2013
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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