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%I #21 Apr 06 2016 09:27:22
%S 1,16,167,1442,11193,81228,563179,3779974,24771725,159439280,
%T 1012078431,6355276746,39568060897,244679845972,1504794392723,
%U 9213774596558,56213415403509,341957238034104,2075218782238855
%N Expansion of 1/((1-x)(1-4x)(1-5x)(1-6x)).
%H Vincenzo Librandi, <a href="/A021744/b021744.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (16,-89,194,-120).
%F a(n) = (6^(n+4)-3*5^(n+4)+10*4^(n+3)-1)/60. - _Yahia Kahloune_, May 07 2013
%t CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 5 x) (1 - 6 x)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Jul 11 2013 *)
%t LinearRecurrence[{16,-89,194,-120},{1,16,167,1442},30] (* _Harvey P. Dale_, Apr 06 2016 *)
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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