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%I #22 Sep 08 2022 08:44:52
%S 3,9,17,29,44,64,88,118,153,195,243,299,362,434,514,604,703,813,933,
%T 1065,1208,1364,1532,1714,1909,2119,2343,2583,2838,3110,3398,3704,
%U 4027,4369,4729,5109,5508,5928,6368,6830,7313,7819,8347,8899,9474
%N First differences give (essentially) A028242.
%H Vincenzo Librandi, <a href="/A035107/b035107.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2,-2,3,-1).
%F a(n) = (4*n^3 +54*n^2 +212*n +153 -9*(-1)^n)/48.
%F G.f.: (2*x^3-4*x^2+3) / ((x-1)^4*(x+1)). - _Colin Barker_, Mar 04 2013
%t LinearRecurrence[{3,-2,-2,3,-1},{3,9,17,29,44},50] (* _Harvey P. Dale_, Oct 20 2013 *)
%t CoefficientList[Series[(2 x^3 - 4 x^2 + 3)/((x - 1)^4 (x + 1)), {x, 0, 50}], x] (* _Vincenzo Librandi_, Oct 21 2013 *)
%o (Magma) [(4*n^3+54*n^2+212*n+153-9*(-1)^n)/48: n in [0..50]]; // _Vincenzo Librandi_, Oct 21 2013
%Y Cf. A028242, A004652, A035104, A035106.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_.
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