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Expansion of 1/((1-2x)(1-4x)(1-7x)(1-12x)).
0

%I #7 Sep 24 2021 16:11:32

%S 1,25,419,5981,78939,999453,12366859,151048909,1831243931,22106050109,

%T 266192557995,3200758779309,38454275485627,461767630974493,

%U 5543426384577227,66536622452560781,798548018884036827

%N Expansion of 1/((1-2x)(1-4x)(1-7x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (25,-206,656,-672).

%F a(n) = -2*2^n/25 +4*4^n/3 -343*7^n/75 +108*12^n/25. _R. J. Mathar_, Jun 20 2013

%t CoefficientList[Series[1/((1-2x)(1-4x)(1-7x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{25,-206,656,-672},{1,25,419,5981},20] (* _Harvey P. Dale_, Sep 24 2021 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.