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%I #15 May 04 2021 15:58:20
%S 1,25,425,6185,83241,1072425,13462825,166325545,2034167081,
%T 24716438825,299050134825,3608230161705,43455812660521,
%U 522726247165225,6282767285808425,75473627419962665,906326894688267561
%N Expansion of 1/((1-x)*(1-4*x)*(1-8*x)*(1-12*x)).
%H Vincenzo Librandi, <a href="/A021944/b021944.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 (25, -200, 560, -384).
%F a(n) = (21*12^(n+3) - 66*8^(n+3) + 77*4^(n+3) - 32)/7392. [_Yahia Kahloune_, Jun 26 2013]
%F a(n) = 25*a(n-1)-200*a(n-2)+560*a(n-3)-384*a(n-4). - _Wesley Ivan Hurt_, May 04 2021
%t CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 8 x) (1 - 12 x)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Jul 11 2013 *)
%t LinearRecurrence[{25,-200,560,-384},{1,25,425,6185},20] (* _Harvey P. Dale_, Dec 15 2014 *)
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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