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%I #25 May 13 2018 10:07:48
%S 1,22,325,4070,46781,511742,5430405,56516790,580744461,5916830062,
%T 59935396885,604729235110,6084941584541,61113049957982,
%U 612976296281765,6142684971387030,61517309500479021,615806336417543502
%N Expansion of 1/((1-x)(1-4x)(1-7x)(1-10x)).
%H Vincenzo Librandi, <a href="/A021874/b021874.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 (22,-159,418,-280).
%F a(n) = (10^(n+3) - 3*7^(n+3) + 3*4^(n+3) - 1)/162. - _Yahia Kahloune_, Jul 05 2013
%F E.g.f.: exp(x)*(1000*exp(9*x) - 1029*exp(6*x) + 192*exp(3*x) - 1)/(3!*3^3). This is d^3/dx^3 exp(x)*(exp(3*x - 1))^3/(3!*3^3); see also column m=3 of A282629 divided by 3^3. The o.g.f. is given in the name. - _Wolfdieter Lang_, Apr 08 2017
%t CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 7 x) (1 - 10 x)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Jul 11 2013 *)
%t LinearRecurrence[{22,-159,418,-280},{1,22,325,4070},30] (* _Harvey P. Dale_, May 13 2018 *)
%Y Cf. A000012, A002450, A016223, A282629.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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