%I #13 Apr 18 2018 12:29:49
%S 1,25,398,5162,59619,640227,6549376,64780804,625573157,5936696909,
%T 55620675474,516146265726,4755391291015,43574880995671,
%U 397637888433092,3617137005125528,32823750870307593,297304128579802113,2688988551055876630,24293750984286505810
%N Expansion of 1 / ((1-4*x)*(1-5*x)*(1-7*x)*(1-9*x)).
%H Colin Barker, <a href="/A028116/b028116.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (25,-227,887,-1260).
%F a(n) = (3*9^(n+3) - 10*7^(n+3) + 3*5^(n+4) - 2*4^(n+4))/120. -_Yahia Kahloune_, Jun 11 2013
%F a(n) = 25*a(n-1) - 227*a(n-2) + 887*a(n-3) - 1260*a(n-4) for n>3. - _Colin Barker_, Apr 17 2017
%t CoefficientList[Series[1/((1-4x)(1-5x)(1-7x)(1-9x)),{x,0,30}],x] (* or *) LinearRecurrence[{25,-227,887,-1260},{1,25,398,5162},30] (* _Harvey P. Dale_, Apr 18 2018 *)
%o (PARI) Vec(1 / ((1 - 4*x)*(1 - 5*x)*(1 - 7*x)*(1 - 9*x)) + O(x^30)) \\ _Colin Barker_, Apr 17 2017
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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