%I #9 Dec 07 2015 17:54:06
%S 1,16,167,1454,11529,86772,633739,4547818,32300477,228024368,
%T 1604029791,11260172742,78950652145,553177103404,3874344193523,
%U 27128870214626,189936063951333,1329688724613480,9308367341848135
%N Expansion of 1/((1-2x)(1-3x)(1-4x)(1-7x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (16,-89,206,-168).
%F a(n)=(2*7^(n+3)-5*4^(n+4)+10*3^(n+4)-3*2^(n+5))/120. [_Yahia Kahloune_, May 30 2013]
%F a(0)=1, a(1)=16, a(2)=167, a(3)=1454, a(n)=16*a(n-1)-89*a(n-2)+ 206*a(n-3)- 168*a(n-4). - _Harvey P. Dale_, Dec 07 2015
%t CoefficientList[Series[1/((1-2x)(1-3x)(1-4x)(1-7x)),{x,0,30}],x] (* or *) LinearRecurrence[{16,-89,206,-168},{1,16,167,1454},30] (* _Harvey P. Dale_, Dec 07 2015 *)
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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